SOLUTION: jack has 12 coins in total made up of quarters and dimes. The coins are worth $2.55. How many of each coin does jack have?

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: jack has 12 coins in total made up of quarters and dimes. The coins are worth $2.55. How many of each coin does jack have?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1013534: jack has 12 coins in total made up of quarters and dimes. The coins are worth $2.55. How many of each coin does jack have?
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Let the number of quarters and dimes be q and d. The we can write
q + d = 12 and the value equation is
25q + 10d = 255 (we work in cents)
Now subtract off 10 times the first equation and we get
25q + 10d = 255
-(10q + 10d = 120)
---------------------
15q = 135
q = 9 quarters which means there are
d = 3 dimes