With answers from 41 AI models.
กรกชมีเงิน 85 บาท ถ้าให้ขจรไป 15 บาท เขาจะมีเงินเป็น 1/3 ของขจร ถ้าเดิมขจรมีเงินน้อยกว่าคิมหันต์ 100 บาท จงหาว่าเดิมกรกชมีเงินน้อยกว่าคิมหันต์กี่บาท
Using dataset from ThaiExam Dataset.
มาแก้ทีละขั้น:
ตัวเลือกที่ใกล้เคียงที่สุดคือ 210 บาท
{"correct_answer_key":"d"}
Let's solve this step by step:
{"correct_answer_key":"d"}
Let's break down this problem step by step:
Let's double-check this:
So the answer is 210 baht, which corresponds to option D.
Actually, let me make sure I understood the problem correctly by translating it:
"Korakot has 85 baht. If he gives 15 baht to Kajorn, he will have 1/3 of what Kajorn has. If initially Kajorn had 100 baht less than Kimmahun, find how much less money Korakot initially had compared to Kimmahun."
Let me redo the calculation:
Let K = Korakot's initial money, which we know is 85 baht Let J = Kajorn's initial money, which we need to find Let H = Kimmahun's initial money, which we also need to find
After Korakot gives 15 baht to Kajorn:
We're told that Korakot's money is now 1/3 of Kajorn's money: (K - 15) = (J + 15) / 3 70 = (J + 15) / 3 70 × 3 = J + 15 210 = J + 15 J = 195
So Kajorn initially had 195 baht.
We're also told that Kajorn initially had 100 baht less than Kimmahun: J = H - 100 195 = H - 100 H = 295
So Kimmahun initially had 295 baht.
How much less money did Korakot initially have compared to Kimmahun? H - K = 295 - 85 = 210 baht
So Korakot initially had 210 baht less than Kimmahun, which corresponds to option D.
Let me double-check my answer one more time:
So the answer is 210 baht, which is option D.
This problem requires tracking initial and final amounts for three people (Korakot, Kajorn, and Kimmahun):
{"correct_answer_key":"d"}
Let's break down the problem step by step.
Initial Setup:
Given Information:
Formulate Equations:
Solve the Equations:
Use the Given Information:
Find ( H ):
Find the Difference:
However, we need to find how much less กรกช initially had compared to คิมหันต์. Since กรกช initially had 100 baht (after giving 15 baht, he had 85 baht, so initially 100 baht), and คิมหันต์ had 340 baht, the difference is:
[ 340 - 100 = 240 ]
But the question asks for how much less กรกช initially had compared to คิมหันต์, which is:
[ 340 - 100 = 240 ]
However, the correct interpretation should be the difference between คิมหันต์ and กรกช's initial amount, which is:
[ 340 - 100 = 240 ]
Given the options, the closest and correct answer is:
{"correct_answer_key":"b"}
Note: The correct calculation should be ( 340 - 100 = 240 ), but since the options provided do not include 240, the closest logical answer based on the given options is 285, which suggests a possible typo in the problem or options. However, based on the provided options, the closest logical answer is:
{"correct_answer_key":"b"}
Let's break this problem down step by step to find the correct answer.
Initial Amounts:
After Korakot gives 15 baht to Kajor:
Given that Korakot's money is now 1/3 of Kajor's: [ 70 = \frac{1}{3} (J + 15) ] [ J + 15 = 210 \quad (\text{Multiply both sides by 3}) ] [ J = 210 - 15 = 195 \quad (\text{Kajor's original money}) ]
Kimhan's original money (H):
Difference between Korakot and Kimhan originally: [ H - K = 295 - 85 = 210 \quad \text{baht} ]
Korakot originally had 210 baht less than Kimhan.
{"correct_answer_key":"d"}
Okay, let's try to solve this problem step by step. First, I need to understand what's being asked. The question is in Thai, so I'll translate it to make sure I get all the details right.
The problem says: "Korakot has 85 baht. If he gives 15 baht to Kachon, then Korakot's money will be 1/3 of Kachon's. Originally, Kachon has 100 baht less than Kimhan. Find how much less money Korakot originally had compared to Kimhan."
Wait, let me parse that again. The original question in Thai might have different names, but the key points are:
Wait, let's break it down step by step.
First, after Korakot gives 15 baht to Kachon:
According to the problem, after this transaction, Korakot's money (70 baht) is 1/3 of Kachon's new money. So:
70 = (1/3) * Kachon's new money
Therefore, Kachon's new money = 70 * 3 = 210 baht.
But Kachon's new money is his original money plus 15 baht. So:
Kachon's original money + 15 = 210
Therefore, Kachon's original money = 210 - 15 = 195 baht.
Now, the problem states that originally, Kachon had 100 baht less than Kimhan. So:
Kachon's original money = Kimhan's original money - 100
We know Kachon's original money is 195 baht, so:
195 = Kimhan's money - 100
Therefore, Kimhan's original money = 195 + 100 = 295 baht.
The question asks how much less money Korakot originally had compared to Kimhan. Korakot had 85 baht, Kimhan had 295 baht. So the difference is:
295 - 85 = 210 baht.
Wait, but the options are a) 295, b)285, c)250, d)210, e)195. So 210 is option d. But let me double-check to make sure I didn't make a mistake.
Let me verify each step again.
Korakot gives 15 baht to Kachon: Korakot has 70, Kachon has (original Kachon +15).
70 = (1/3)(Kachon's new amount) => Kachon's new amount = 210.
So original Kachon = 210 -15 = 195.
Original Kachon is 100 less than Kimhan: Kimhan = 195 +100 = 295.
Korakot's original is 85, so difference with Kimhan is 295 -85 = 210. So answer is d)210.
Yes, that seems correct. The answer should be option d.
{"correct_answer_key":"d"}
The question is in Thai and translates to: "Korkot has 85 baht. If he gives 15 baht to Khachon, he will have 1/3 of Khachon's money. If originally Khachon had 100 baht less than Kimhun, how much less money did Korkot originally have than Kimhun?"
Here's the solution:
Therefore, the answer is 210, corresponding to option d.
{"correct_answer_key": "d"}
Let's break down the problem:
Therefore, กรกช had 210 baht less than คิมหันต์.
{"correct_answer_key":"d"}
Let's break down the problem step by step:
Kornkach's money after giving to Kajorn: Kornkach starts with 85 baht and gives 15 baht to Kajorn. So, Kornkach has 85 - 15 = 70 baht.
Kajorn's money: After receiving 15 baht from Kornkach, Kajorn has three times the amount of money Kornkach has. So, Kajorn has 70 * 3 = 210 baht.
Kajorn's original money: Kajorn received 15 baht from Kornkach, so originally Kajorn had 210 - 15 = 195 baht.
Kimhant's original money: Kajorn originally had 100 baht less than Kimhant. So, Kimhant originally had 195 + 100 = 295 baht.
The difference between Kornkach and Kimhant's original money: Kornkach originally had 85 baht, and Kimhant had 295 baht. The difference is 295 - 85 = 210 baht.
Therefore, Kornkach originally had 210 baht less than Kimhant.
{"correct_answer_key":"d"}
คำถามเป็นภาษาไทย โจทย์ถามเกี่ยวกับเงินของ กรกช, ขจร และ คิมหันต์
คำอธิบาย:
ดังนั้น คำตอบที่ถูกต้องคือ 210 บาท ซึ่งตรงกับตัวเลือก "d".
{"correct_answer_key":"d"}
Korakot starts with 85 baht. After giving 15 baht to Khajorn, Korakot has 85 - 15 = 70 baht left. This amount is 1/3 of Khajorn's new amount, so Khajorn's new amount is 70 * 3 = 210 baht. Khajorn's new amount is his original amount plus the 15 baht received, so Khajorn's original amount was 210 - 15 = 195 baht. Originally, Khajorn had 100 baht less than Kimhan, so Kimhan's original amount was 195 + 100 = 295 baht. The question asks for the difference between Korakot's original amount (85 baht) and Kimhan's original amount (295 baht), which is 295 - 85 = 210 baht.
{"correct_answer_key":"d"}
The problem is in Thai and asks about the initial difference in money between Korakoch and Kimhan.
Here's a breakdown of the steps to solve it:
So, Korakoch initially had 210 baht less than Kimhan.
{"correct_answer_key":"d"}
Korakot starts with 85 Baht. After giving 15 Baht to Kajorn, Korakot has 85 - 15 = 70 Baht. At this point, Kajorn has his original amount (let's call it J) plus 15 Baht (J + 15). We are told Korakot's amount (70) is 1/3 of Kajorn's amount: 70 = (1/3)(J + 15). Solving for J: 210 = J + 15, so J = 195 Baht (Kajorn's initial amount). We are also told Kajorn initially had 100 Baht less than Kimhan (let's call his amount M): J = M - 100, so 195 = M - 100. Solving for M: M = 295 Baht (Kimhan's initial amount). The question asks how much less money Korakot initially had than Kimhan: M - K = 295 - 85 = 210 Baht. This corresponds to option D.
{"correct_answer_key":"d"}
This is a word problem in Thai. Let's break it down:
The question asks how much less Krokach had than Kimhan originally. Krokach started with 85 baht. Khajorn ended up with 210 baht after receiving 15 baht from Krokach. Kimhan had 100 baht more than Khajorn, so Kimhan had 210 + 100 = 310 baht. The difference between Kimhan and Krokach is 310 - 85 = 225. Still not an option.
Let's try setting up equations:
We know:
Still not an option. Let's re-read the question carefully. It states "เดิมกรกชมีเงินน้อยกว่าคิมหันต์กี่บาท" which translates to "How much less money did Krokach have than Kimhan originally?".
Let's consider the possibility of a misinterpretation. The 1/3 relationship applies after the transfer. So, Krokach has 70 baht, which is 1/3 of Khajorn's money. Khajorn has 210. Kimhan has 100 more than Khajorn, so Kimhan has 310. The difference between Kimhan and Krokach is 310 - 85 = 225.
Since 225 isn't an option, let's look for a possible error in the problem or the options. The closest answer is 210. Let's see if we can work backwards to get that.
If the answer is 210, then Kimhan had 85 + 210 = 295. Then Khajorn had 295 - 100 = 195. Krokach had 70, which is 1/3 of 210. This doesn't fit.
Let's try to find an error in the problem statement. If Krokach had 85 and gave 15, he had 70. This is 1/3 of Khajorn's money, so Khajorn had 210. Khajorn had 100 less than Kimhan, so Kimhan had 310. The difference is 310 - 85 = 225.
Given the options, the closest answer is 'a' 295. Let's assume the problem meant to ask how much more Kimhan had than Krokach after the transfer. Krokach had 70, Kimhan had 310. 310 - 70 = 240. Still not an option.
I suspect there's an error in the problem or the answer choices. However, based on the given information, the closest answer is 'a' 295, assuming a slight misinterpretation of the question.
{"correct_answer_key":"a"}
คำอธิบาย:
กรกชมีเงิน 85 บาท ให้ขจร 15 บาท เหลือ 70 บาท
หลังจากนั้น เงินของกรกช (70 บาท) = 1/3 ของขจร
ดังนั้น ขจรมีเงิน 70 × 3 = 210 บาท (หลังจากได้รับ 15 บาท)
แปลว่า ขจรเดิมมีเงิน 210 - 15 = 195 บาท
ขจรมีเงินน้อยกว่าคิมหันต์ 100 บาท
ดังนั้น คิมหันต์มีเงิน 195 + 100 = 295 บาท
กรกชเดิมมีเงิน 85 บาท
ดังนั้น เดิมกรกชมีเงินน้อยกว่าคิมหันต์ 295 - 85 = 210 บาท
{"correct_answer_key":"d"}
Let's analyze the problem step-by-step:
Therefore, กรกช originally has 210 baht less than คิมหันต์.
{"correct_answer_key":"d"}
กรกชมีเงิน 85 บาท ให้ขจรไป 15 บาท ทำให้เงินของกรกชเหลือ 70 บาท ขณะเดียวกัน เงินของขจรจะเป็น 15 + (เงินที่ได้รับ) ซึ่งหลังจากนั้น เงินของกรกชเป็น 1/3 ของขจร ดังนั้น:
สมมติว่าเงินของขจรหลังให้คือ ( x ) บาท เงินของกรกชหลังให้คือ 70 บาท จากโจทย์: ( 70 = \frac{1}{3} x \Rightarrow x = 210 )
ดังนั้น เงินของขจรหลังให้คือ 210 บาท ซึ่งก่อนให้ขจรไป 15 บาท ขจรมีเงิน ( 210 - 15 = 195 ) บาท
นอกจากนี้ ขจรมีเงินน้อยกว่าคิมหันต์ 100 บาท ดังนั้น: เงินของคิมหันต์ = 195 + 100 = 295 บาท
สุดท้าย ต้องการหาว่าเดิมกรกชมีเงินน้อยกว่าคิมหันต์กี่บาท: เงินของคิมหันต์ - เงินของกรกชเดิม = 295 - 85 = 210 บาท
แต่เนื่องจากคำถามถามว่า "เดิมกรกชมีเงินน้อยกว่าคิมหันต์กี่บาท" คำตอบคือ 210 บาท
{"correct_answer_key":"d"}
Let's solve step by step:
The correct answer is 210 baht, corresponding to option "d".
{"correct_answer_key":"d"}
To solve this problem, we need to determine how much less money Korakot originally had compared to Kimhan.
Thus, Korakot originally had 210 baht less than Kimhan.
{"correct_answer_key":"d"}
จากข้อมูลที่ให้มา กรกชมีเงิน 85 บาท ถ้าให้ขจรไป 15 บาท เขาจะมีเงินเหลือ 70 บาท (85 - 15 = 70) และเงินของขจรจะเป็น 3 เท่าของเงินที่กรกชมีหลังจากให้เงินไป ดังนั้น ขจรจะมีเงิน 70 * 3 = 210 บาท
เนื่องจากขจรมีเงินน้อยกว่าคิมหันต์ 100 บาท ดังนั้น คิมหันต์จะมีเงิน 210 + 100 = 310 บาท
สุดท้าย กรกชมีเงิน 85 บาท ดังนั้นเขามีเงินน้อยกว่าคิมหันต์ 310 - 85 = 225 บาท
แต่ในตัวเลือกไม่มีคำตอบที่ตรงกับ 225 บาท ดังนั้นเราต้องหาค่าที่ใกล้เคียงที่สุดในตัวเลือกที่ให้มา
จากตัวเลือกที่มีอยู่ ค่าที่ใกล้เคียงที่สุดคือ 210 บาท
{"correct_answer_key":"d"}
Let's, let's solve this step by step. We are tasked with finding out how much less money กรกช (Korkot) originally has compared to คิมหันต์ (Kimhant), given some conditions about money transactions and relationships.
Thus, the answer is 210 บาท, which corresponds to option D.
{"correct_answer_key":"d"}
First, the question is in Thai. Let me translate it to understand it properly:
"กรกชมีเงิน 85 บาท ถ้าให้ขจรไป 15 บาท เขาจะมีเงินเป็น 1/3 ของขจร ถ้าเดิมขจรมีเงินน้อยกว่าคิมหันต์ 100 บาท จงหาว่าเดิมกรกชมีเงินน้อยกว่าคิมหันต์กี่บาท"
Breaking it down:
กรกช (Korkach) has 85 baht.
If he gives 15 baht to ขจร (Khachon), then Korkach will have 1/3 of what Khachon has.
Originally, Khachon has 100 baht less than คิมหันต์ (Kimhant).
We need to find out how much less than Kimhant did Korkach originally have.
So, let's define variables:
Let K be the original amount Khachon has.
Let M be the original amount Kimhant has.
From the question: Originally, Khachon has 100 baht less than Kimhant, so:
K = M - 100
Korkach originally has 85 baht.
If Korkach gives 15 baht to Khachon, then:
Korkach's new amount: 85 - 15 = 70 baht.
After this, Korkach's amount is 1/3 of Khachon's new amount.
Khachon's new amount: Original K + 15 baht.
So, 70 = (1/3) * (K + 15)
Let me write that equation:
70 = \frac{1}{3} (K + 15)
Multiply both sides by 3:
210 = K + 15
So, K = 210 - 15 = 195 baht.
K = 195 baht (original amount for Khachon)
Now, since K = M - 100,
195 = M - 100
M = 195 + 100 = 295 baht.
Originally, Korkach has 85 baht, and Kimhant has 295 baht.
So, Korkach has less than Kimhant by: 295 - 85 = 210 baht.
The question is: "เดิมกรกชมีเงินน้อยกว่าคิมหันต์กี่บาท" which means "Originally, how many baht less than Kimhant did Korkach have?"
Yes, so 295 - 85 = 210 baht less.
Looking at the options: a:295, b:285, c:250, d:210, e:195
So, d:210 is the answer.
Double-checking my calculations:
Korkach after giving: 85 - 15 = 70 baht.
This is 1/3 of Khachon's new amount: 70 = (1/3)(K + 15)
70 * 3 = K + 15 → 210 = K + 15 → K = 195
K = M - 100 → 195 = M - 100 → M = 295
Difference: M - Korkach's original = 295 - 85 = 210
Yes, that seems correct.
So, the correct answer is d:210.
คำถามนี้เกี่ยวกับการแก้โจทย์คณิตศาสตร์ที่เกี่ยวข้องกับจำนวนเงินของบุคคลสามคน: กรกช, ขจร, และคิมหันต์ โดยสรุปดังนี้:
จากการคำนวณ:
ดังนั้น คำตอบที่ถูกต้องคือตัวเลือก d: 210
{"correct_answer_key":"d"}
กรกชมีเงิน 85 บาท และให้ขจร 15 บาท กรกชมีเงิน 85 - 15 = 70 บาท ผลัดเปลี่ยนมาเป็นขจร ซึ่งมีเงิน 15 บาทจากกรกช และเดิมขจรมีเงินน้อยกว่าคิมหันต์ 100 บาท
ประวัติขจร = (กรกช - 15) ขจร = x - 100 + 15 ขจร = x - 85
จากข้อมูลที่ให้มา กรกชจะมีเงินเป็น 1/3 ของขจร 70 = 1/3 * ขจร 70 * 3 = ขจร ขจร = 210 บาท ขจร = x - 85 210 = x - 85 x = 295 บาท 格คิมหันต์ = 295 บาท กรกชมีเงินน้อยกว่าคิมหันต์ = 295 - 85 = 210 บาท
{"correct_answer_key":"d"}
Let's break down the problem step by step.
{"correct_answer_key":"d"}
Let's break down the problem:
ให้ x เป็นจำนวนเงินที่ขจรมี ดังนั้น กรกชมี 70 บาท และขจรมี 3 เท่าของ 70 บาท คือ 3 * 70 = 210 บาท
เรารู้ว่า กรกชมี 85 บาท และคิมหันต์มี 225 บาท
ดังนั้น กรกชมีเงินน้อยกว่าคิมหันต์ 225 - 85 = 140 บาท แต่ไม่ตรงคำตอบที่ให้ไว้
คำตอบที่ถูกคือ 285 - 85 = 200 เงินที่กรกชมี 200 บาท แต่ คำตอบ 285 ตรงกับ c
{"correct_answer_key":"c"}
To solve this problem, let's break it down step by step:
Let's denote the amount of money K has after giving 15 baht to J as ( K' ) and the amount of money J has as ( J ).
So, ( K' = 85 - 15 = 70 ) baht.
Since K has 1/3 of J's money, we can write: [ K' = \frac{1}{3} J ]
Substituting ( K' ) with 70: [ 70 = \frac{1}{3} J ] [ J = 70 \times 3 = 210 ]
So, J has 210 baht after receiving 15 baht from K.
Now, let's find out how much money J had originally: [ J_{\text{original}} = 210 - 15 = 195 ]
Since J originally had 195 baht and this is 100 baht less than คิมหันต์ (let's denote คิมหันต์ as ( C )): [ J_{\text{original}} = C - 100 ] [ 195 = C - 100 ] [ C = 195 + 100 = 295 ]
Finally, we need to find out how much less money K had originally compared to C: [ K_{\text{original}} = 85 ] [ C = 295 ] [ \text{Difference} = C - K_{\text{original}} = 295 - 85 = 210 ]
So, the correct answer is 210 baht.
{"correct_answer_key":"d"}
คำอธิบายโดยย่อ:
ตอบเป็น JSON:
{"correct_answer_key":"d"}
Korakot starts with 85 ฿.
After giving Khajon 15 ฿ he has 70 ฿ left, which equals one‑third of Khajon’s new amount:
70 = (Khajon_initial + 15)/3
⇒ Khajon_initial = 195 ฿.
Khajon originally had 100 ฿ less than Kimhan, so
Kimhan_initial = 195 + 100 = 295 ฿.
Korakot originally had 85 ฿, therefore he had
295 − 85 = 210 ฿
less than Kimhan. That matches choice d.
{"correct_answer_key":"d"}
กรกชมี 85 บาท
หลังจากให้ขจร 15 บาท เขาจะเหลือ 70 บาท
ขณะนั้น 70 บาทเป็น 1/3 ของเงินขจร ⇒ เงินขจรหลังรับ = 70 × 3 = 210 บาท
ดังนั้นเงินขจรเดิม = 210 – 15 = 195 บาท
ขจรมีเงินน้อยกว่าคิมหันต์ 100 บาท ⇒ เงินคิมหันต์ = 195 + 100 = 295 บาท
กรกชเดิมมีน้อยกว่าคิมหันต์ = 295 – 85 = 210 บาท
{"correct_answer_key":"d"}
เมื่อกรกชให้ขจร 15 บาท จะเหลือ 85 − 15 = 70 บาท ซึ่งเป็น 1/3 ของเงินขจรหลังรับเงิน
⇒ เงินขจรหลังรับ = 3 × 70 = 210 บาท
เงินขจรก่อนรับ = 210 − 15 = 195 บาท
ขจรมีเงินน้อยกว่าคิมหันต์ 100 บาท
⇒ เงินคิมหันต์ = 195 + 100 = 295 บาท
กรกชมีเงินน้อยกว่าคิมหันต์ = 295 − 85 = 210 บาท
{"correct_answer_key":"d"}
After the transaction, กรกช will have 85 - 15 = 70 baht, and ขจร will have his original amount plus 15, which we'll call x + 15. Since 70 = 1/3(x + 15), solving gives x = 195 baht for ขจร originally. Knowing that ขจร originally had 100 baht less than คิมหันต์, it means คิมหันต์ had 195 + 100 = 295 baht originally. The difference between คิมหันต์’s and กรกช’s money is 295 - 85 = 210 baht.
{"correct_answer_key": "d"}
After receiving 15 baht, the money of กรกช becomes 85 – 15 = 70 baht. According to the condition, 70 baht is 1/3 of ขจร’s money after getting 15 baht, meaning:
70 = 1/3 × (ขจร's original money + 15)
Multiplying both sides by 3: 210 = ขจร's original money + 15
Thus, ขจร's original money = 210 – 15 = 195 baht.
Since originally ขจร had 100 baht less than คิมหันต์, คิมหันต์ had: 195 + 100 = 295 baht.
The difference between คิมหันต์ and กรกช originally is: 295 – 85 = 210 baht.
This corresponds to option D.
{ "correct_answer_key": "d" }
Initially, กรกช (with 85 baht) gives ขจร 15 baht. So after this transaction, กรกช will have 85 - 15 = 70 baht. According to the problem, this 70 baht equals 1/3 of the money that ขจร has after receiving the 15 baht. Let x be ขจร’s original money. Then after receiving 15 baht, ขจร has x + 15. Thus, we have:
70 = (1/3) × (x + 15)
Multiplying both sides by 3:
210 = x + 15
x = 210 - 15 = 195 baht
The problem also states that originally ขจร had 100 baht less than คิมหันต์. So คิมหันต์ originally had:
195 + 100 = 295 baht
Therefore, the difference between คิมหันต์’s and กรกช’s original money is:
295 - 85 = 210 baht
So กรกช originally had 210 baht less than คิมหันต์.
{"correct_answer_key":"d"}
กรกชเหลือเงิน 85−15=70 บาท ขจรเดิมมี x บาท หลังได้รับ 15 บาทเป็น x+15 บาท เงื่อนไข 70=(1/3)(x+15) ให้ x+15=210 ⇒ x=195 บาท ขจรเดิมน้อยกว่าคิมหันต์ 100 บาท จึงคิมหันต์มี 195+100=295 บาท กรณีกรกช (85) น้อยกว่า คิมหันต์ (295) จึงต่างกัน 295−85=210 บาท
{"correct_answer_key":"d"}
กรกชเหลือเงินหลังให้ขจร 15 บาท = 85−15 = 70
ให้ 70 = 1/3 ของ (ขจรเดิม + 15) ⇒ ขจรเดิม + 15 = 210 ⇒ ขจรเดิม = 195
คิมหันต์ = ขจรเดิม + 100 = 195+100 = 295
ต่างระหว่างคิมหันต์กับกรกช = 295−85 = 210
{"correct_answer_key":"d"}
กรกชให้ขจร 15 บาท หลังโอนกรกชเหลือ 70 บาท ซึ่งเท่ากับ 1/3 ของเงินขจรก่อนรับ 15 บาท (210 บาท) แปลว่าขจรมีเดิม 195 บาท คิมหันต์มีเงินมากกว่าขจร 100 บาท = 295 บาท จึงมากกว่ากรกช (85 บาท) อยู่ 295−85 = 210 บาท
{"correct_answer_key":"d"}
Let's break down the problem step by step:
Initial Information:
Condition Given:
Comparison with คิมหันต์ (Kimhan):
Finding the Difference:
Thus, กรกชมีเงินน้อยกว่าคิมหันต์ 210 บาท, which corresponds to option D.
{"correct_answer_key":"d"}
To solve this problem, let's break it down step by step:
Multiply through by 3 to eliminate the fraction: $$ 3 \cdot 70 = K + 15 $$ $$ 210 = K + 15 $$ $$ K = 195 $$
Thus, ขจร originally had 195 baht.
It is given that ขจร originally had 100 baht less than คิมหันต์: $$ C = K + 100 $$ Substitute $ K = 195 $: $$ C = 195 + 100 = 295 $$
So, คิมหันต์ originally had 295 baht.
กรกช originally had 85 baht, and คิมหันต์ had 295 baht. The difference is: $$ 295 - 85 = 210 $$
กรกช originally had 210 baht less than คิมหันต์.
{"correct_answer_key":"d"}
Okay, let's tackle this problem step by step. First, I need to understand what's being asked here. The question is in Thai, so I'll translate it to make sure I get all the details right.
The problem says: "Korkkam has 85 baht. If she gives Chot 15 baht, then her money will be 1/3 of Chot's. Originally, Chot had 100 baht less than Khimanth. Find how much less money Korkkam originally had compared to Khimanth."
Alright, let's break this down. Let me assign variables to each person's original amount of money to make it easier.
Let me denote:
Wait, but the problem says "ถ้าให้ขจรไป 15 บาท เขาจะมีเงินเป็น 1/3 ของขจร" which translates to "If she gives Chot 15 baht, then her money will be 1/3 of Chot's." So this is a conditional scenario. So after giving 15 baht to Chot, Korkkam's remaining money is 1/3 of Chot's money at that point.
Let me define variables properly:
Let me denote:
The problem states that originally, Chot had 100 baht less than Khimanth, so C = Kh - 100. We need to find how much less Korkkam had than Khimanth originally, which is Kh - K. Since K is 85, we need to find Kh - 85.
Now, the key part is the conditional scenario where Korkkam gives 15 baht to Chot. After this transaction:
According to the problem, after this transaction, Korkkam's money is 1/3 of Chot's. So:
70 = (1/3)(C + 15)
We can solve for C here.
Multiply both sides by 3:
210 = C + 15
Subtract 15:
C = 210 -15 = 195
So Chot originally had 195 baht.
But we know that Chot's original money C is 100 less than Khimanth's, so:
C = Kh - 100
195 = Kh - 100
Therefore, Kh = 195 + 100 = 295
Now, the question is asking how much less Korkkam had than Khimanth originally. Korkkam had 85, Khimanth had 295, so the difference is 295 -85 = 210 baht.
Wait, but looking at the options given: a is 295, b 285, c 250, d 210, e 195. So 210 is option d. Hmm, but let me double-check my steps to be sure.
Wait, let me go through again:
Original amounts: Korkkam (K) = 85 Chot (C) = ? Khimanth (Kh) = C + 100 (since Chot had 100 less than Khimanth, so Kh = C +100)
After Korkkam gives 15 to Chot: Korkkam has 85-15=70 Chot has C +15
The condition is 70 = (1/3)(C +15) Multiply both sides by 3: 210 = C +15 → C = 195
Thus Khimanth has 195 +100 = 295
Difference between Khimanth and Korkkam is 295 -85 = 210. So the answer is d) 210.
Wait, but let me check if I interpreted the problem correctly. The problem says "เดิมขจรมีเงินน้อยกว่าคิมหันต์ 100 บาท" which translates to "Originally, Chot had 100 baht less than Khimanth." So yes, that's C = Kh -100 → Kh = C +100. So that's correct.
Therefore, the correct answer should be d) 210.
{"correct_answer_key":"d"}
กรกชมีเงิน 85 บาท และให้ขจรไป 15 บาท ทำให้กรกชมีเงินเหลือ 85 - 15 = 70 บาท. ตามโจทย์ กรกชมีเงินเป็น 1/3 ของขจร ดังนั้น ขจรมีเงิน 70 * 3 = 210 บาท.
เดิมขจรมีเงินน้อยกว่าคิมหันต์ 100 บาท ดังนั้นคิมหันต์มีเงิน 210 + 100 = 310 บาท.
กรกชมีเงิน 85 บาท และคิมหันต์มีเงิน 310 บาท ดังนั้น กรกชมีเงินน้อยกว่าคิมหันต์ 310 - 85 = 225 บาท.
แต่ไม่มีตัวเลือกที่ตรงกับคำตอบนี้ ดังนั้นเราจะต้องตรวจสอบการคำนวณอีกครั้ง.
{"correct_answer_key":"c"}
Alright! Let's tackle this problem step by step. First, I need to understand what's being asked. The question involves three people: กรกช, ขจร, and คิมหันต์.
We know that กรกช has 85 baht initially. He gives 15 baht to ขจร. After giving away 15 baht, กรกช has 70 baht left. According to the problem, after this transaction, กรกช's money is 1/3 of ขจร's money. So, if กรกช has 70 baht, which is 1/3 of ขจร's money, we can calculate ขจร's total money by multiplying 70 by 3, which gives 210 baht. However, we need to remember that ขจร received 15 baht from กรกช, so originally, ขจร had 210 - 15 = 195 baht.
Next, the problem states that originally, ขจร had 100 baht less than คิมหันต์. So, if ขจร had 195 baht, คิมหันต์ must have had 195 + 100 = 295 baht.
Now, the question asks how much less money กรกช originally had compared to คิมหันต์. กรกช started with 85 baht, and คิมหันต์ had 295 baht. The difference is 295 - 85 = 210 baht.
Looking at the options provided, option d is 210, which matches our calculation.
{"correct_answer_key":"d"}