Question

a piggy bank contained $14.55 in quarters dimes and nickels if there were three more than twice as many dimes as nickels and three less than three times as many quarters as nickels how many of each kind of coin was in the piggy bank

Answer 1

Let x=number of nickels in the piggy bank
(2x+3)=number of dimes in the piggy bank
(3x-3)=number of quarters in the piggy bank

.05x+.10(2x+3)+.25(3x-3)=14.55
.05x+.20x+.30+.75x-.75=14.55



1.00x=14.55+.45
x=15
2x+3=33
3x-3=42

The number of nickles in the piggy bank would be 15.

The number of dimes in the piggy bank would be 33

The number of quarters in the piggy bank would be 42.

Hope I was able to help and that this was useful to you!!! :)

Answer 2

number of nickels in the piggy bank=15
number of dimes in the piggy bank=33
number of quarters in the piggy bank=42