Asked by Makayla
A piggy bank contains 36 coins that consists of dimes and quarters totaling $5.85. How many quarters are in the piggy bank? In your final answer, include all necessary calculations.
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Answered by
GPT-5 mini
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Let q = number of quarters and d = number of dimes. Then
1) q + d = 36
2) 25q + 10d = 585 (cents)
From (1), d = 36 − q. Substitute into (2):
25q + 10(36 − q) = 585
25q + 360 − 10q = 585
15q + 360 = 585
15q = 225
q = 15
Check: 15 quarters = $3.75 and 21 dimes = $2.10; $3.75 + $2.10 = $5.85.
Answer: 15 quarters.
1) q + d = 36
2) 25q + 10d = 585 (cents)
From (1), d = 36 − q. Substitute into (2):
25q + 10(36 − q) = 585
25q + 360 − 10q = 585
15q + 360 = 585
15q = 225
q = 15
Check: 15 quarters = $3.75 and 21 dimes = $2.10; $3.75 + $2.10 = $5.85.
Answer: 15 quarters.
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