SOLUTION: Miko has 11 coins that have a total value of 85 cents. If the coins are only nickels and dimes, how many of each kind are there?

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Question 805615: Miko has 11 coins that have a total value of 85 cents. If the coins are only nickels and dimes, how many of each kind are there?
Answer by erica65404(394) About Me  (Show Source):
You can put this solution on YOUR website!
nickels=x dimes=y
x%2By=11+coins
5x%2B10y=85cents
solve the irst equation to equal y
y=11-x
now plug this into the other equation
5x%2B10%2811-x%29=85
5x%2B110-10x=85
-5x%2B110=85
-5x=-25
x=5
plug x into x%2By=11
5+y=11
y=6
There are 5 nickels and 6 dimes.
Now check your answer
5x%2B10y=85
5%285%29%2B10%286%29=85
25%2B60=85
85=85