gsm8k-0005

# 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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Let's break down the problem step by step.

1. **Total number of glasses**: Kylar wants to buy 16 glasses.

2. **Pricing structure**:
   - The first glass costs $5.
   - Every second glass (i.e., the 2nd, 4th, 6th, etc.) costs 60% of the original price.
   - The original price of a glass is $5, so 60% of $5 is \( 0.6 \times 5 = $3 \).

3. **Number of full-price glasses**:
   - Since every second glass is discounted, the number of full-price glasses is half of the total number of glasses.
   - For 16 glasses, the number of full-price glasses is \( \frac{16}{2} = 8 \).

4. **Number of discounted glasses**:
   - Similarly, the number of discounted glasses is also half of the total number of glasses.
   - For 16 glasses, the number of discounted glasses is \( \frac{16}{2} = 8 \).

5. **Total cost calculation**:
   - Cost of full-price glasses: \( 8 \times 5 = $40 \).
   - Cost of discounted glasses: \( 8 \times 3 = $24 \).
   - Total cost: \( 40 + 24 = $64 \).

So, Kylar needs to pay \(\boxed{64}\) dollars for the 16 glasses.