SOLUTION: Sarah has 600 quarters and dimes in her piggy bank which totals $123.75. How many quarters and dimes does she have?
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Question 1083287: Sarah has 600 quarters and dimes in her piggy bank which totals $123.75. How many quarters and dimes does she have?
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!
q = number of quarters
d = number of dimes
q + d = 600
25q + 10d = 12375 (units are cents)
10x top eqn:
10q + 10d = 6000
subtract bottom eqn:
10q + 10d = 6000
-25q - 10d = -12375
———————————
-15q = -6375
q = -6375/-15 = 425 —> d = 600-425 = 175
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Ans: 425 quarters, 175 dimes
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Check: 425(25) + 175(10) = 10625 + 1750 = 12375 = $123.75 (ok)
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