← run

gsm8k-0006

1.000
1/1 tests· math
Challenge · difficulty 2/5
# GSM8K Problem 7

Toulouse has twice as many sheep as Charleston. Charleston has 4 times as many sheep as Seattle. How many sheep do Toulouse, Charleston, and Seattle have together if Seattle has 20 sheep?

Reason step by step, then give ONLY the final answer on the last line as \boxed{ANSWER}.

<!-- imported from openai/gsm8k (test) -->
Proposed solution
To find the total number of sheep, we first determine the number of sheep each city has based on the given information.

1.  **Seattle:** The problem states that Seattle has 20 sheep.
    $$S_{Seattle} = 20$$

2.  **Charleston:** Charleston has 4 times as many sheep as Seattle.
    $$S_{Charleston} = 4 \times S_{Seattle}$$
    $$S_{Charleston} = 4 \times 20 = 80$$

3.  **Toulouse:** Toulouse has twice as many sheep as Charleston.
    $$S_{Toulouse} = 2 \times S_{Charleston}$$
    $$S_{Toulouse} = 2 \times 80 = 160$$

4.  **Total:** We sum the sheep from all three cities.
    $$Total = S_{Seattle} + S_{Charleston} + S_{Toulouse}$$
    $$Total = 20 + 80 + 160$$
    $$Total = 260$$

\boxed{260}