SOLUTION: Ryan has three times as many quarters as nickels. If Ryan had thirty-one more nickels and five fewer quarters, he would have the same number of each coin. How much money does he ha

Question 316842: Ryan has three times as many quarters as nickels. If Ryan had thirty-one more nickels and five fewer quarters, he would have the same number of each coin. How much money does he have?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
let the number of nickels be x
quarters = y
1. y=3x
..
x+31+y-5 = x+y /2
x+y+26 =x+y /2
2x+2y+52=x+y
x-y=-52
2. x-y=-52
plug value of y in eq 2
x-3x=-52
-2x=-52
x=-52/-2
x=26 nickels
quarters = 3*26=78
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