SOLUTION: A bag contains dimes & nickels. There are 21 coins in the bag. The value of the coins is $1.70. How many of each coin is in the bag?

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Question 451523: A bag contains dimes & nickels. There are 21 coins in the bag. The value of the coins is $1.70. How many of each coin is in the bag?
Answer by nerdybill(7384) About Me  (Show Source):
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A bag contains dimes & nickels. There are 21 coins in the bag. The value of the coins is $1.70. How many of each coin is in the bag?
.
Let x = number of dimes
the
20-x = number of nickels
.
.10x + .05(20-x) = 1.70
.10x + 1-.05x = 1.70
.05x + 1 = 1.70
.05x = .70
x = 14 (dimes)
.
nickels
20-x = 20-14 = 6