Question 508966
d = number of dimes
10d = value of the dimes in cents
q = number of quarters
24q = value of the quarters in cents
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d + q = 55
so
d = 55-q
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10d + 25q = 1075 cents
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substitute d = 55-q
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10(55-q) + 25q = 1075
550 -10q + 25q = 1075
15q = 525
q = 35
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d = 55-q
d = 55-35
d = 20
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Check to determine if the value is correct.
25(35) = 875 cents
10(20) = 200 cents
875 + 200 = 1075 cents
Correct.
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Answer: The meter had 35 quarters and 20 dimes.
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Done.