SOLUTION: Your piggy bank contains $19.75 in dimes and quarters. There are 100 coins in all. How many dimes are there?

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: Your piggy bank contains $19.75 in dimes and quarters. There are 100 coins in all. How many dimes are there?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 323452: Your piggy bank contains $19.75 in dimes and quarters. There are 100 coins in all. How many dimes are there?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
Q+D=100 OR Q=100-D
.25Q+.10D=19.75
.25(100-D)+.10D=19.75
25-.25D+.10D=19.75
-.15D=19.75-25
-.15D=-5.25
D=-5.25/-.15
D=35 DIMES.
100-35=65 QUARTERS.
PROOF:
.25*65+.10*35=19.75
16.25+3.50=19.75
59.75=19.75