SOLUTION: Toni’s piggy bank contains $19.20, made up of 10-cent pieces and 20-cent pieces. If
There are 114 coins in the piggy bank, how many coins of each denomination are there?
Algebra ->
Customizable Word Problem Solvers
-> Coins
-> SOLUTION: Toni’s piggy bank contains $19.20, made up of 10-cent pieces and 20-cent pieces. If
There are 114 coins in the piggy bank, how many coins of each denomination are there?
Log On
Question 653113: Toni’s piggy bank contains $19.20, made up of 10-cent pieces and 20-cent pieces. If
There are 114 coins in the piggy bank, how many coins of each denomination are there? Answer by checkley79(3341) (Show Source):
You can put this solution on YOUR website! Let X be the number of 10 cent pieces.
Let y be the number of 20 cent pieces.
X+Y=114
X=114-Y
.10(114-Y)+.20Y=19.20
11.4-.10Y+.20Y=19.20
.10Y=19.20-11.40
.10Y=7.80
Y=7.80/.10
Y=78 NUMBER OF 20 CENT PIECES.
114-78=36 NUMBER OF 10 CENT PIECES.
PROOF:
.10*36+.20*78=19.20
3.60+15.60=19.20
19.20=19.20
(