gsm8k-0006
1.000
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}.
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Proposed solution
Let's break down the problem step by step:
1. **Find the number of sheep in Seattle:**
The problem states that Seattle has 20 sheep.
$$ \text{Seattle} = 20 $$
2. **Find the number of sheep in Charleston:**
The problem states that Charleston has 4 times as many sheep as Seattle.
$$ \text{Charleston} = 4 \times \text{Seattle} $$
$$ \text{Charleston} = 4 \times 20 = 80 $$
3. **Find the number of sheep in Toulouse:**
The problem states that Toulouse has twice as many sheep as Charleston.
$$ \text{Toulouse} = 2 \times \text{Charleston} $$
$$ \text{Toulouse} = 2 \times 80 = 160 $$
4. **Calculate the total number of sheep:**
We need to find the sum of the sheep in all three cities.
$$ \text{Total} = \text{Seattle} + \text{Charleston} + \text{Toulouse} $$
$$ \text{Total} = 20 + 80 + 160 $$
$$ \text{Total} = 100 + 160 $$
$$ \text{Total} = 260 $$
\boxed{260}