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
I need to calculate the total cost for Kylar to buy 16 glasses, where every second glass costs 60% of the regular price.
Let me break this down step by step:
Regular price per glass: $5
Discounted price per glass: 60% of $5 = 0.6 × $5 = $3
Now I need to figure out which glasses get the discount:
- Glass 1: Regular price ($5)
- Glass 2: Discounted price ($3)
- Glass 3: Regular price ($5)
- Glass 4: Discounted price ($3)
- Glass 5: Regular price ($5)
- Glass 6: Discounted price ($3)
- And so on...
Pattern: Every even-numbered glass gets the discounted price.
For 16 glasses:
- Glasses 1, 3, 5, 7, 9, 11, 13, 15 (8 glasses) = Regular price
- Glasses 2, 4, 6, 8, 10, 12, 14, 16 (8 glasses) = Discounted price
Cost calculation:
- 8 regular glasses: 8 × $5 = $40
- 8 discounted glasses: 8 × $3 = $24
Total cost = $40 + $24 = $64
$\boxed{64}$