gsm8k-0010

# 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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Here is the step-by-step reasoning to solve the problem:

1.  **Calculate the downloads in the first month:**
    The problem states that the program had 60 downloads in the first month.
    $$ \text{Downloads}_{\text{Month 1}} = 60 $$

2.  **Calculate the downloads in the second month:**
    The number of downloads in the second month was three times as many as the downloads in the first month.
    $$ \text{Downloads}_{\text{Month 2}} = 3 \times \text{Downloads}_{\text{Month 1}} $$
    $$ \text{Downloads}_{\text{Month 2}} = 3 \times 60 = 180 $$

3.  **Calculate the downloads in the third month:**
    The number of downloads was reduced by 30% in the third month. This reduction applies to the number of downloads from the second month.
    First, calculate 30% of the second month's downloads:
    $$ 30\% \text{ of } 180 = 0.30 \times 180 = 54 $$
    Next, subtract this reduction from the second month's count to find the third month's count:
    $$ \text{Downloads}_{\text{Month 3}} = 180 - 54 = 126 $$

4.  **Calculate the total downloads over the three months:**
    Sum the downloads from all three months.
    $$ \text{Total Downloads} = \text{Downloads}_{\text{Month 1}} + \text{Downloads}_{\text{Month 2}} + \text{Downloads}_{\text{Month 3}} $$
    $$ \text{Total Downloads} = 60 + 180 + 126 $$
    $$ \text{Total Downloads} = 240 + 126 $$
    $$ \text{Total Downloads} = 366 $$

\boxed{366}