SOLUTION: Mia has twice as many quarters as she has dimes. If she has $3.60 total, how many of each type of coin does she have?

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Question 405924: Mia has twice as many quarters as she has dimes. If she has $3.60 total, how many of each type of coin does she have?
Answer by algebrahouse.com(1659) About Me  (Show Source):
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"Mia has twice as many quarters as she has dimes. If she has $3.60 total, how many of each type of coin does she have?"

x = number of dimes
2x = number of quarters {twice as many quarters as dimes}

25(2x) + 10x = 360 {value of coins x number of coins equals total value}
50x + 10x = 360 {multiplied 25 by 2x}
60x = 360 {combined like terms}
x = 6 {divided both sides by 60}
2x = 12 {substituted 6, in for x, into 2x}

she has 6 dimes and 12 quarters
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