gsm8k-0022
1.000
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}