Question 1101094
x = number of dimes
25 - x = number of quarters   {she has 25 coins total}


10x + 25(25 - x) = 370   {value of coin times number of coins equals total value}
10x + 625 - 25x = 370   {used distributive property}
-15x + 625 = 370   {combined like terms}
-15x = -255   {subtracted 625 from each side}
x = 17   {divided each side by -15}
25 - x = 8   {substituted 17, in for x, into 25 - x}


17 dimes
8 quarters
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