How Many Qtrs

There are 8 more nickels than quarters.  The number of dimes are twice the total number of nickels and quarters combined.  Euals $18.80.  How many qtrs?
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5 Answers

n=q+8

d=2(n+q)=2(q+8 +q) =2(2q+8) =4q+16

5n +10d +25q=1880

5(q+8) +10(4q+16) +25q=1880

5q+40 +40q+160 +25q=1880

70q +200=1880

70q=1680

q=24 quarters
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