Question 803127
x = number of quarters
25 - x = number of dimes  {there are a total of 25 coins}


25x + 10(25 - x) = 370   {value of coin multiplied by number of coins equals total value}
25x + 250 - 10x = 370   {used distributive property}
15x + 250 = 370  {combined like terms}
15x = 120   {subtracted 250 from each side}
x = 8   {divided each side by 15}
25 - x = 17   {substituted 8, in for x, into 25 - x}


8 quarters
17 dimes
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