Andy has 17 coins made up of quarters and half dollars, and their total value is $7.25. How many quarters does he have? x = number of quarters 17  x = number of half dollars {there are 17 total coins} 0.25x + 0.5(17  x) = 7.25 {value of coin times number of coins equals total value} 0.25x + 8.5  0.5x = 7.25 {used distributive property} 0.25x + 8.5 = 7.25 {combined like terms} 0.25x = 1.25 {subtracted 8.5 from each side} x = 5 quarters {divided each side by 0.25} 17  x = 12 half dollars {substituted 5, in for x, into 17  x} Andy has 5 quarters  Algebra House
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