Question 1074920
1)  n + q = 29
2) 0.05n + 0.25q = 3.85
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Note total is 3 dollars and 85 cents so nickels and quarters use 0.05 and 0.25 respectively
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solve equation 1 for q
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q = 29 - n
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substitute for q in equation 2
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0.05n + 0.25(29 - n) = 3.85
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0.05n + 7.25 - 0.25n = 3.85
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-0.20n = -3.40
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n = 17
q = 29 - 17 = 12
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There are 17 nickels and 12 quarters
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check answer
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17(0.05) + 12(0.25) = 3.85
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0.85 + 3.00 = 3.85
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3.85 = 3.85
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our answers check
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