gsm8k-0022

# 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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To find the total number of DVDs Billy sold, we need to calculate the number of DVDs sold to each group of customers and sum them up.

1.  **First group:** The first 3 customers bought 1 DVD each.
    $$3 \text{ customers} \times 1 \text{ DVD/customer} = 3 \text{ DVDs}$$

2.  **Second group:** The next 2 customers bought 2 DVDs each.
    $$2 \text{ customers} \times 2 \text{ DVDs/customer} = 4 \text{ DVDs}$$

3.  **Third group:** The last 3 customers bought 0 DVDs each.
    $$3 \text{ customers} \times 0 \text{ DVDs/customer} = 0 \text{ DVDs}$$

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

\boxed{7}