SOLUTION: If you have $6.30 in quarters and dimes and the amount of dimes is twice as much as quarters, how much of each do they have?

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: If you have $6.30 in quarters and dimes and the amount of dimes is twice as much as quarters, how much of each do they have?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1048150: If you have $6.30 in quarters and dimes and the amount of dimes is twice as much as quarters, how much of each do they have?
Answer by ikleyn(53763) About Me  (Show Source):
You can put this solution on YOUR website!
.
If you have $6.30 in quarters and dimes and the amount of dimes is twice as much as quarters, how much of each do they have?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Group coins in sets containing {2 dimes and 1 quarters} in each set. 
The condition directly says that it is possible to do.


Then each set worth is 2*10+25 = 45 cents.


How many sets are there?  630%2F45 = 14.

Hence, there are 14 quarters and 2*14 = 28 dimes.

Answer.  There are 14 quarters and 28 dimes.