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

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) (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

RELATED QUESTIONS
Penelope has several coins, all nickels and quarters in her piggy bank. The total amount... (answered by stanbon)

Joey has 60 coins in his piggy bank. All the coins are nickels and quarters.The total... (answered by JulietG)

Alycia opens her piggy bank to find only quarters and nickels inside .she counts the... (answered by Alan3354)

Alycia opens her piggy bank to find only quarters and nickels inside. She counts the... (answered by ikleyn,Edwin McCravy)

Alycia opens her piggy bank to find only nickels and quarters inside. She counts the... (answered by Boreal,josgarithmetic)

I am studying matrices, but have a hard time translating word problems. How would you... (answered by ankor@dixie-net.com)

A piggy bank has 100 coins, all of which are nickels and quarters. The total value of the (answered by TimothyLamb)

A piggy bank has 80 coins of which 20 percent are quarters. What is the least amount of... (answered by vleith)

Alycia opens her piggy bank to find only nickels and quarters inside.she counts the coins (answered by stanbon)