SOLUTION: A piggy bank contains a total of 44 dimes and quarters worth $7.55. Determine how many dimes and quarters were in the piggy bank.

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Question 881670: A piggy bank contains a total of 44 dimes and quarters worth $7.55. Determine how many dimes and quarters were in the piggy bank.
Answer by algebrahouse.com(1659) About Me  (Show Source):
You can put this solution on YOUR website!
x = number of quarters
44 - x = number of dimes {there are 44 total coins}

25x + 10(44 - x) = 755 {value of coin multiplied by number of coins equals total value}
25x + 440 - 10x = 755 {used distributive property}
15x + 440 = 755 {combined like terms}
15x = 315 {subtracted 440 from each side}
x = 21 {divided each side by 15}
44 - x = 23 {substituted 21, in for x, into 44 - x}

21 quarters
23 dimes

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