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?

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