SOLUTION: A coin bank contains only nickels and dimes. The bank contains 46 coins. If 5 dimes and 2 nickels were removed, the total value of the coins would be $3.40. Find the number of each

Question 661837: A coin bank contains only nickels and dimes. The bank contains 46 coins. If 5 dimes and 2 nickels were removed, the total value of the coins would be $3.40. Find the number of each type of coin in the bank.

Answer by ReadingBoosters(3246) (Show Source): You can put this solution on YOUR website!
x = dimes
y = nickels
x+y=46
3.40=(.1x+.05y)-(.1(5)) - (.05(2))
3.40 = .1x + .05y - .6
4 = .1x + .05y
given x = 46 - y
substitute into the equation
4 = .1(46-y) + .05y
distribute the .1
4 = 4.6 - .1y + .05y
4 = 4.6 - .05y
.05y = 4.6 - 4
.05y = .6
y = 12 nickels
x = 46 - 12 = 34 dimes
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