SOLUTION: luis has 28 coins made up of nickels dimes and quarters. If he had 2 more nickels, he would have just as many nickels as he has dimes and quarters put together. If the total value

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: luis has 28 coins made up of nickels dimes and quarters. If he had 2 more nickels, he would have just as many nickels as he has dimes and quarters put together. If the total value       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1053039: luis has 28 coins made up of nickels dimes and quarters. If he had 2 more nickels, he would have just as many nickels as he has dimes and quarters put together. If the total value of luis coins is 3.20 how many coins of each kind does he have?
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
n = number of nickels
d = number of dimes
q = number of quarters

5n + 10d + 25q = 320
n + 2 = d + q ----> n = d + q - 2
n + d + q = 28

Substitute the second equation into the first and third equations.

15d + 30q = 330
2d + 2q = 30

Multiply the second equation by 15.

15d + 30q = 330
-(30d + 30q = 450)
---------------------
-15d = -120
d = 8

There are 8 dimes, 7 quarters, and 13 nickels.