SOLUTION: andy has 17 coins made up of quarters and half dollars, and their total value is $7.25. how many quarters does he have

Question 767491: andy has 17 coins made up of quarters and half dollars, and their total value is $7.25. how many quarters does he have
Answer by algebrahouse.com(1659) (Show Source): You can put this solution on YOUR website!
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}

5 quarters

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