Answer:
33 quarters
Step-by-step explanation:
Let D = number of dimes; Q = the number of quarters
Realize that: $ = (dollars/coin)*(number of coins)
Given: $0.10*D + $0.25*Q = $15.25 (eq1)
D + Q = 103 (eq2)
Using elimination method to eliminate D (because we want to find Q):
10*D + 25*Q = 1525 (use eq1; multiply by 100; divide by $1)
10*D + 10*Q = 1030 (use eq2; multiply by 10)
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15*Q = 495 (subtract equations)
Q = 33 (divide both sides by 15)