SOLUTION: There are two more quarters than dimes, and as many nickels, as quarters and dimes together. The total amount of money is $3.75. How many quarters, dimes, and nickels are there?

Question 1127431: There are two more quarters than dimes, and as many nickels, as quarters and dimes together. The total amount of money is $3.75. How many quarters, dimes, and nickels are there?
Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
q = d + 2
n = d + q substituting for q: n = d + (d + 2)
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0.05n + 0.10d + 0.25q = 3.75
now substitute with the equivalents above:
0.05(d + d + 2) + 0.10d + 0.25(d +2) = 3.75
0.05d + 0.05d + 0.10 + 0.10d + 0.25d + 0.50 = 3.75
group like numbers:
0.05d + 0.05d + 0.10d + 0.25d + 0.10 + 0.50 = 3.75
0.45d + 0.60 = 3.75
0.45d = 3.15
d = 7 there are 7 dimes
q = d + 2 = 7 + 2 = 9 there are 9 quarters
n = d + q = 7 + 9 = 16 there are 16 nickels
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check:
0.10(7) + 0.25(9) + 0.05(16)
= 0.70 + 2.25 + 0.8 = 3.75 Correct

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