Let x and y be the number of quarters and nickels.
We have x+ y= 88 (because there are 88 coins in total)
⇒ y= 88-x
On the other hand, we have: 25 centsx+ 5 centsy= 1,480 cents ($14.80= 1,480 cents)
⇒ 25x+ 5y= 1,480 (1)
Plug y= 88-x in (1), we have:
25x+ 5(88-x)= 1,480
⇒ ...
⇒ x= 52.
y= 88-52= 36
There are 52 quarters and 36 nickels~
