SOLUTION: Jim has $9.00 in dimes and quarters. If he has twice as many quarters as dimes, how many of each coin does he have?

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: Jim has $9.00 in dimes and quarters. If he has twice as many quarters as dimes, how many of each coin does he have?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 346013: Jim has $9.00 in dimes and quarters. If he has twice as many quarters as dimes, how many of each coin does he have?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let D be the number of dimes, Q the number of quarters.
1.10D%2B25Q=900
2.Q=2D
Substitute eq. 2 into eq. 1,
10D%2B25%282D%29=900
10D%2B50D=900
60D=900
highlight%28D=15%29
Then from eq. 2,
Q=2%2815%29
highlight%28Q=30%29