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gsm8k-0010

1.000
1/1 tests· math
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
To find the total number of downloads over the three months, we need to calculate the downloads for each month individually and then sum them up.

1.  **First Month:**
    The problem states there were 60 downloads in the first month.
    $$Downloads_1 = 60$$

2.  **Second Month:**
    The number of downloads in the second month was three times as many as the downloads in the first month.
    $$Downloads_2 = 3 \times Downloads_1$$
    $$Downloads_2 = 3 \times 60 = 180$$

3.  **Third Month:**
    The number of downloads in the third month was reduced by 30% from the downloads in the second month.
    First, we calculate 30% of the second month's downloads:
    $$30\% \text{ of } 180 = 0.30 \times 180 = 54$$
    Next, we subtract this reduction from the second month's total to get the third month's total:
    $$Downloads_3 = 180 - 54 = 126$$

4.  **Total Downloads:**
    Finally, we add the downloads from all three months together.
    $$Total = Downloads_1 + Downloads_2 + Downloads_3$$
    $$Total = 60 + 180 + 126$$
    $$Total = 240 + 126$$
    $$Total = 366$$

\boxed{366}