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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To find the total cost, we need to calculate the price of the first glass and the price of the subsequent glasses.

1.  **Identify the price of the first glass:**
    The problem states that one glass costs $5.

2.  **Identify the price of the second glass:**
    Every second glass costs 60% of the price of the first glass.
    Price = $5 \times 0.60 = \$3$.

3.  **Determine the pattern for the remaining glasses:**
    Kylar wants to buy 16 glasses in total.
    -   The 1st glass costs $5.
    -   The 2nd glass costs $3.
    -   The 3rd glass is the "second" glass in the sequence of the remaining 14 glasses, so it costs $3.
    -   The 4th glass is the "second" glass in the sequence of the remaining 13 glasses, so it costs $3.
    -   This pattern continues for all glasses after the first one. Since there are 16 glasses, there are 15 glasses that cost $3 each.

4.  **Calculate the total cost:**
    -   Cost of the first glass: $5
    -   Cost of the remaining 15 glasses: $15 \times \$3 = \$45$
    -   Total cost: $\$5 + \$45 = \$50$

\boxed{50}