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 Kylar needs to pay, we need to determine the price of each glass and sum them up based on the pricing scheme.

1.  **Determine the price of the regular and discounted glasses:**
    *   The regular price of one glass is given as $5.
    *   Every second glass costs 60% of the regular price.
    *   Price of the second glass = $5 \times 0.60 = \$3$.

2.  **Analyze the pricing pattern:**
    *   The prices for the glasses follow an alternating pattern:
        *   1st glass: $5
        *   2nd glass: $3
        *   3rd glass: $5
        *   4th glass: $3
        *   ... and so on.
    *   This means that for every pair of glasses (one regular, one discounted), the cost is $5 + $3 = $8$.

3.  **Calculate the number of pairs:**
    *   Kylar wants to buy 16 glasses.
    *   Since the pattern repeats every 2 glasses, we divide the total number of glasses by 2 to find the number of pairs.
    *   Number of pairs = $16 / 2 = 8$ pairs.

4.  **Calculate the total cost:**
    *   Total cost = (Number of pairs) $\times$ (Cost per pair)
    *   Total cost = $8 \times \$8 = \$64$.

    Alternatively, we can count the number of glasses at each price:
    *   There are 8 glasses at the regular price ($5). Cost = $8 \times 5 = 40$.
    *   There are 8 glasses at the discounted price ($3). Cost = $8 \times 3 = 24$.
    *   Total cost = $40 + 24 = 64$.

\boxed{64}