SOLUTION: A collection of 52 dimes and nickels is worth $4.50. How many dimes are there?

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Question 456851: A collection of 52 dimes and nickels is worth $4.50. How many dimes are there?
Answer by benni1013(206) About Me  (Show Source):
You can put this solution on YOUR website!
What we know:
1) A total of 52 dimes and nickels
2) The value of a dime and nickel.
These two facts will create the equations to solve.
From fact one we know that x+y=52
From fact two and the total we can summise the equation .05x+.10y=$4.50
Using systems of equation solving techniques to find the answer.