<PRE><B>Question 1138969</B>
let x be the number of quarters and y be the number of nickels
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1)  x + y = 53
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2)  0.25x + 0.05y = 6.05
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solve equation 1 for y
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y = 53 - x
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substitute for y in equation 2
:
0.25x + 0.05(53 - x) = 6.05
:
0.25x + 2.65 - 0.05x = 6.05
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0.20x = 3.40
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x = 17
:
y = 53 - 17 = 36
:
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there are 17 quarters and 36 nickels
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check answer with equation 2
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0.25(17) +0.05(36) = 6.05
:
4.25 + 1.80 = 6.05
:
6.05 = 6.05
:
answer checks
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