Betty has 10 more dimes than quarters. If she has $3.45, how many coins does she have? How many quarters and how many dimes? x = # of quarters
x + 10 = # of dimes .25x + .1(x + 10) = 3.45 {value of each multiplied by # of each equals total value} .25x + .1x + 1 = 3.45 {used distributive property} .35x + 1 = 3.45 {combined like terms} .35x = 2.45 {subtracted 1 from both sides} x = 7 quarters {divided both sides by .35} x + 10 = 17 dimes {substituted 7 in for x into x + 10} 7 quarters and 17 dimes  Algebra House
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