SOLUTION: Solve the problem. Andy has 8 coins made up of quarters and half dollars, and their total value is $2.50. How many quarters does he have?

Algebra ->  Systems-of-equations -> SOLUTION: Solve the problem. Andy has 8 coins made up of quarters and half dollars, and their total value is $2.50. How many quarters does he have?      Log On


   

Question 170344This question is from textbook Introductory Algebra
: Solve the problem. Andy has 8 coins made up of quarters and half dollars, and their total value is $2.50. How many quarters does he have? This question is from textbook Introductory Algebra

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
Q+H=8
H=8-Q
.25Q+.50H=2.50
.25Q+.50(8-Q)=2.50
.25Q+4-.50Q=2.50
-.25Q=2.50-4
-.25Q=-1.50
Q=-1.50/-.25
Q=6 QUARTERS.
8-6=2 HALF DOLLARS.
PROOF:
.25*6+.50*2=2.50
1.50+1.00=2.50
2.50=2.50