SOLUTION: Michelle has a jar of quarters and dimes to totaling to 3.10 . If there are sixteen coins in total, how many more quarters are there than dimes.

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Question 890026: Michelle has a jar of quarters and dimes to totaling to 3.10 . If there are sixteen coins in total, how many more quarters are there than dimes.
Answer by algebrahouse.com(1659) About Me  (Show Source):
You can put this solution on YOUR website!
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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