Question 849797
x = number of dimes
x + 8 = number of quarters  {he has 8 more quarters than dimes}


10x + 25(x + 8) = 550 {value of coin times number of coins equals total value}
10x + 25x + 200 = 550 {used distributive property}
35x + 200 = 550 {combined like terms}
35x = 350 {subtracted 200 from each side}
x = 10  {divided each side by 35}
x + 8 = 18 {substituted 8, in for x, into x + 8}


10 dimes and 18 quarters
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