gsm8k-0005
1.000
Challenge · difficulty 2/5
# GSM8K Problem 6
Kylar went to the store to buy glasses for his new apartment. One glass costs $5, but every second glass costs only 60% of the price. Kylar wants to buy 16 glasses. How much does he need to pay for them?
Reason step by step, then give ONLY the final answer on the last line as \boxed{ANSWER}.
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Proposed solution
We are told:
- One glass costs **$5**.
- **Every second glass** costs only **60%** of $5.
Let’s clarify what “every second glass” means. It typically means the 2nd, 4th, 6th, ..., i.e., all even-numbered glasses are discounted.
So for 16 glasses:
- Glasses #1, 3, 5, ..., 15 (odd positions): full price = $5 each
- Glasses #2, 4, 6, ..., 16 (even positions): discounted price = 60% of $5 = $3 each
There are 16 glasses total:
- Number of odd-numbered glasses: 8
- Number of even-numbered glasses: 8
Now compute total cost:
- Odd glasses: $8 \times 5 = 40$
- Even glasses: $8 \times 3 = 24$
Total = $40 + 24 = 64$
\boxed{64}