SOLUTION: If Gerardo has 11 nickels and quarters in his pocket, and they have a combined value of 175 cents, how many of each coin does he have?

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: If Gerardo has 11 nickels and quarters in his pocket, and they have a combined value of 175 cents, how many of each coin does he have?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 993006: If Gerardo has 11 nickels and quarters in his pocket, and they have a combined value of 175 cents, how many of each coin does he have?
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
n = number of nickels
q = number of quarters

n + q = 11
5n + 25q = 175

Multiply the first equation by 25.

25n + 25q = 275
-(5n + 25q = 175)
----------------------
20n = 100
n = 5

Gerardo has 5 nickels and 6 quarters.