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 can break down the sales by each group of customers:

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

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

3.  **Third group:** The last 3 customers didn't buy any DVDs.
    $$3 \text{ customers} \times 0 \text{ DVDs} = 0 \text{ DVDs}$$

Now, we add the number of DVDs sold to each group to get the total:
$$3 + 4 + 0 = 7$$

Billy sold a total of 7 DVDs.

\boxed{7}