gsm8k-0010
1.000
Challenge · difficulty 2/5
# GSM8K Problem 11
A new program had 60 downloads in the first month. The number of downloads in the second month was three times as many as the downloads in the first month, but then reduced by 30% in the third month. How many downloads did the program have total over the three months?
Reason step by step, then give ONLY the final answer on the last line as \boxed{ANSWER}.
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Proposed solution
We are given:
- **First month**: 60 downloads
- **Second month**: Three times the first month
- **Third month**: Reduced by 30% from the second month
Let’s compute step by step.
---
### Step 1: First month downloads
Given directly:
$$
D_1 = 60
$$
---
### Step 2: Second month downloads
Three times the first month:
$$
D_2 = 3 \times D_1 = 3 \times 60 = 180
$$
---
### Step 3: Third month downloads
Reduced by 30% from the second month means it's 70% of the second month:
$$
D_3 = D_2 \times (1 - 0.30) = 180 \times 0.70 = 126
$$
---
### Step 4: Total downloads over three months
$$
\text{Total} = D_1 + D_2 + D_3 = 60 + 180 + 126 = 366
$$
---
$\boxed{366}$