SOLUTION: In a purse are nickels, dimes and quarters amounting to $9.85. There are twice as many dimes as quarters, and the number of nickels is two more than twice than the number of dimes.

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Question 1074210: In a purse are nickels, dimes and quarters amounting to $9.85. There are twice as many dimes as quarters, and the number of nickels is two more than twice than the number of dimes. Determine the number of nickels?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
0.05n%2B0.1d%2B0.25q=9.85
n%2B2d%2B5q=197, money count, simplified equation


d%2Fq=2
q=d%2F2


n=2%2B2d
2d=n-2
d=%28n-2%29%2F2



Substitute results into the simplified money count equation.
n%2B2%28n-2%29%2F2%2B5%28d%2F2%29=197

n%2Bn-2%2B5%28%28n-2%29%2F2%29%2F2=197

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2n%2B%285n-10%29%2F4=199
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highlight%28n=62%29


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Also, the other two coin counts, system%28d=30%2Cq=15%29