SOLUTION: A stack of 130 half dollars and quarters is worth $40. Find the number of each type of coin.

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: A stack of 130 half dollars and quarters is worth $40. Find the number of each type of coin.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 984739: A stack of 130 half dollars and quarters is worth $40. Find the number of each type of coin.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let represent the number of half-dollars and let represent the number of quarters. So:



Then is the value of the half-dollars in cents and is the value of the quarters in cents. And finally, the total value of all the coins is 4000 cents. So:



Solve the 2X2 system for and

John

My calculator said it, I believe it, that settles it