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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
Let's break down the problem step by step:

1. Billy has 8 customers on Tuesday.
2. The first 3 customers each buy 1 DVD.
   - DVDs sold to first 3 customers: 3 customers × 1 DVD/customer = 3 DVDs.
3. The next 2 customers each buy 2 DVDs.
   - DVDs sold to next 2 customers: 2 customers × 2 DVDs/customer = 4 DVDs.
4. The last 3 customers don't buy any DVDs.
   - DVDs sold to last 3 customers: 3 customers × 0 DVDs/customer = 0 DVDs.

Now, add up the DVDs sold to all customers:
- Total DVDs sold = 3 DVDs (from first 3 customers) + 4 DVDs (from next 2 customers) + 0 DVDs (from last 3 customers) = 7 DVDs.

\boxed{7}