SOLUTION: A collection of dimes and nickels has a total value of $2.70. The number of nickels is 2 more than twice the number of dimes. How many of each type of coin are in the collection?

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Question 944441: A collection of dimes and nickels has a total value of $2.70. The number of nickels is 2 more than twice the number of dimes. How many of each type of coin are in the collection?
Answer by lwsshak3(11628) About Me  (Show Source):
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A collection of dimes and nickels has a total value of $2.70. The number of nickels is 2 more than twice the number of dimes. How many of each type of coin are in the collection?
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let x=number of dimes
2x+2=number of nickels
.10x+.05(2x+2)=2.70
.10x+.10x+.10=2.70
.20x=2.60
x=13
2x+2=28
number of dimes=13
number of nickels=28