A newspaper carrier has 5.50 in change.He has 5 more quarters than dimes but 3 times as many nickels as quarters.How many coins or few have type does he have?

Question

Please explain how to do this in the easiest to understand way you can. 

Answer 1

 25Q + 10D + 5N = 550

 

Q = D + 5

 

N = 3Q = 3(D + 5) = 3D + 15

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25(D + 5) + 10D + 5(3d +15) = 550

 

 

25D + 125 + 10D + 15d + 75 = 550

 

50D + 200 = 550

 

50D = 350

 

D = 7

 

7 dimes

12 quarters

36 nickles