SOLUTION: Penelope has several coins, all nickels and quarters, in her piggy bank. The total amount of money that she has is $15.65. If Penelope has 13 more nickels than quarters, how many q

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Penelope has several coins, all nickels and quarters, in her piggy bank. The total amount of money that she has is $15.65. If Penelope has 13 more nickels than quarters, how many q      Log On


   



Question 214146: Penelope has several coins, all nickels and quarters, in her piggy bank. The total amount of money that she has is $15.65. If Penelope has 13 more nickels than quarters, how many quarters does she have?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
Q=N-13
.25Q+.05N=15.65
.25(N-13)+.05N=15.65
.25N-3.25+.05N=15.65
.30N=15.65+3.25
.30N=18.90
N=18.90/.30
N=63 NICKELS.
Q=63-13=50 QUARTERS.
PROOF:
.25*50+.05*63=15.65
12.50+3.15=15.6515.65=15.65