Question 890026
x = number of quarters
16 - x = number of dimes {there are 16 total coins}


25x + 10(16 - x) = 310 {value of coin multiplied by number of coins equals total value}
25x + 160 - 10x = 310 {used distributive property}
15x + 160 = 310 {combined like terms}
15x = 150 {subtracted 160 from each side}
x = 10 {divided each side by 15}
16 - x = 6 {substituted 10, in for x, into 16 - x}


10 quarters and 6 dimes


4 more quarters than dimes
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