Gloria has some dimes and quarters. If she has 25 coins worth a total of $3.10, how many of each type of coin does she have?
x = number of dimes
25  x = number of quarters 10x + 25(25  x) = 310 {value of coin times number of coins equals total value/changed dollars to cents} 10x + 625  25x = 310 {used distributive property} 15x + 625 = 310 {combined like terms} 15x = 315 {subtracted 625 from each side} x = 21 {divided each side by 15} 25  x = 4 {substituted 21, in for x, into 25  x} 21 dimes and 4 quarters Ask the House
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