SOLUTION: sarah has a total of $4.10 in dimes and quarters. Altogether there are 29 coins. how many dimes and quarters does she have?

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: sarah has a total of $4.10 in dimes and quarters. Altogether there are 29 coins. how many dimes and quarters does she have?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 706609:
sarah has a total of $4.10 in dimes and quarters. Altogether there are 29 coins. how many dimes and quarters does she have?
Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
Q+D=29
Q=29-D
.25Q+.10D=4.10
.25(29-D)+.10D=4.10
7.25-.25D+10D=4.10
-.15D=4.10-7.25
-.15D=-3.15
D=-3.15/-.15
D=21 NUMBER OF DIMES.
Q=29-21=8 QUARTERS.
PROOF:
.25*8+.10*21=4.10
2.00+2.10=4.10
4.10=4.10