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gsm8k-0022

1.000
1/1 tests· math
Challenge · difficulty 2/5
# GSM8K Problem 23

Billy sells DVDs. He has 8 customers on Tuesday. His first 3 customers buy one DVD each.  His next 2 customers buy 2 DVDs each.  His last 3 customers don't buy any DVDs. How many DVDs did Billy sell on Tuesday?

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 DVDs Billy sold, we need to calculate the number of DVDs bought by each group of customers and then add them together.

1.  **First 3 customers:** Each buys 1 DVD.
    $3 \text{ customers} \times 1 \text{ DVD/customer} = 3 \text{ DVDs}$

2.  **Next 2 customers:** Each buys 2 DVDs.
    $2 \text{ customers} \times 2 \text{ DVDs/customer} = 4 \text{ DVDs}$

3.  **Last 3 customers:** They buy 0 DVDs.
    $3 \text{ customers} \times 0 \text{ DVDs/customer} = 0 \text{ DVDs}$

4.  **Total:** Add the DVDs from all groups.
    $3 + 4 + 0 = 7 \text{ DVDs}$

\boxed{7}