To find out how much Liam should pay now, we need to calculate the total cost of the items at their current prices.
Step 1: Calculate the cost of each item- Erasers: Liam buys 24 erasers at $6.75 each. Cost of erasers=24×6.75=162\text{Cost of erasers} = 24 \times 6.75 = 162Cost of erasers=24×6.75=162
- Notebooks: Liam buys 10 notebooks at $11.00 each. Cost of notebooks=10×11.00=110\text{Cost of notebooks} = 10 \times 11.00 = 110Cost of notebooks=10×11.00=110
- Ream of bond paper: He buys 1 ream at $19. Cost of bond paper=19\text{Cost of bond paper} = 19Cost of bond paper=19
Since prices were 10% cheaper last year, that means the prices increased by 10%. To find the previous year's price, we can use the current total and adjust for the 10% increase:
Last year’s price=2911.1≈264.55\text{Last year's price} = \frac{291}{1.1} \approx 264.55Last year’s price=1.1291≈264.55Thus, Liam should pay $291 now, while last year's total would have been approximately $264.55 due to the 10% cheaper prices.
밑에거 원래 논문에 있던거:
GSM-NoOp;
Liam wants to buy some school supplies. He buys 24 erasers that now cost $6.75 each, 10 notebooks
that now cost $11.0 each, and a ream of bond paper that now costs $19. How much should Liam pay now,
assuming that due to inflation, prices were 10% cheaper last year?
o1-preview: To solve the problem, we need to calculate how much Liam should pay, considering that last
year’s prices were 10% cheaper due to inflation. This means we’ll calculate the prices after reducing
the current prices by 10%.
Step 1: Calculate last year’s prices by reducing the current prices by 10%.
- Eraser price last year: $6.75 × 0.90 = $6.075
- Notebook price last year: $11.00 × 0.90 = $9.90
- Bond paper price last year: $19.00 × 0.90 = $17.10
Step 2: Calculate the total cost using last year’s prices.
- Total cost for erasers: 24 erasers × $6.075 = $145.80
- Total cost for notebooks: 10 notebooks × $9.90 = $99.00
- Total cost for bond paper: 1 ream × $17.10 = $17.10
Step 3: Sum up all the costs to get the total amount Liam should pay.
$145.80 + $99.00 + $17.10 = $261.90
Answer:$261.90
Figure 13: Sample response from o1-preview on an example from GSM-NoOp: the model blindly
applies the inflation rate, even though the inflation amount is irrelevant as the question clearly
indicates the given prices are for “now” and not last year.
이논문 주소:
[2410.05229] GSM-Symbolic: Understanding the Limitations of Mathematical Reasoning in Large Language Models (arxiv.org)심지어 Gemini 1.5Pro도 잘 대답하는데:
Liam wants to buy some school supplies. He buys 24 erasers that now cost $6.75 each, 10 notebooks
that now cost $11.0 each, and a ream of bond paper that now costs $19. How much should Liam pay now,
assuming that due to inflation, prices were 10% cheaper last year?
Liam이 현재 지불해야 할 금액을 계산하기 전에, 인플레이션으로 인해 작년 가격이 10% 더 저렴했다는 점을 고려해야 합니다. 즉, 현재 가격은 작년 가격보다 10% 더 높습니다.
지우개:
현재 지우개 가격: $6.75
지우개 개수: 24개
현재 지우개 총 가격: $6.75 * 24 = $162
공책:
현재 공책 가격: $11.0
공책 개수: 10개
현재 공책 총 가격: $11.0 * 10 = $110
종이:
현재 종이 가격: $19
총 가격:
현재 총 가격: $162 + $110 + $19 = $291
따라서 Liam은 현재 $291를 지불해야 합니다.
이미 겁나 까임
이 논문은 흑역사로 남겠는데