SOLUTION: A jar contains quarters and dimes. It contains one more than five times as many quarters as dimes. The money in the jar totals $4.30, how many dimes and quarters are in the jar?

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: A jar contains quarters and dimes. It contains one more than five times as many quarters as dimes. The money in the jar totals $4.30, how many dimes and quarters are in the jar?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 333972: A jar contains quarters and dimes. It contains one more than five times as many quarters as dimes. The money in the jar totals $4.30, how many dimes and quarters are in the jar?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let D be the number of dimes, Q quarters.
1.Q=5D%2B1
.
.
.
2.10D%2B25Q=430
Substitute eq. 1 into eq. 2,
10D%2B25%285D%2B1%29=430
10D%2B125D%2B25=430
135D=405
highlight%28D=3%29
.
.
.
Then from eq. 1,
Q=5%283%29%2B1
highlight%28Q=16%29
.
.
.
16 quarters and 3 dimes.