SOLUTION: Courtney has nickels and quarters in her toy bank. She has a total of 52 coins with a total value of $9.20. How many coins of each kind does she have?

Question 66109: Courtney has nickels and quarters in her toy bank. She has a total of 52 coins with a total value of $9.20. How many coins of each kind does she have?
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
Courtney has nickels and quarters in her toy bank. She has a total of 52 coins with a total value of $9.20. How many coins of each kind does she have?
Let x=number of quarters
Then 52-x=number of nickels

Now, we'll start dealing in pennies to keep everything consistent and on track.
We are told that the amount of money in quarters(25x) plus the amount of money in nickels 5(52-x) equals 920 pennies. So our equation to solve is:
25x+5(52-x)=920
25x+260-5x=920 simplifying and subtracting 260 from both sides:
20x=660
x=33 quarters
52-x=52-33=19 nickels
ck
33(25)+19(5)=920
825+95=920
920=920
Hope this helps------ptaylor
25x-5x=920-260

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