SOLUTION: Maggie makes a $9.25 purchase at a bookstore in Reno with a $20 bill. The store has no bills and gives her the change in quarters and fifty-cent pieces. There are 30 coins in all.

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Question 176718: Maggie makes a $9.25 purchase at a bookstore in Reno with a $20 bill. The store has no bills and gives her the change in quarters and fifty-cent pieces. There are 30 coins in all. How many of each kind are there?

please help thank you!!
Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
20-9.25=10.75 is the amount of change.
.25x+.5(30-x)=10.75
.25x+15-.5x=10.75
-.25x=10.75-15
-.25x=-4.25
x=4.25/-.25
x=17 number of quarters.
30-17=13 number of half dollares.
Proof:
.25*17+.50*13=10.75
4.25+6.50=10.75
10.75=10.75