SOLUTION: A pop machine contains nickels, dimes and quarters worth 112.25. There are three times as many quarters as there are dimes, and 91 more nickels than dimes. How many of each coin ar

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: A pop machine contains nickels, dimes and quarters worth 112.25. There are three times as many quarters as there are dimes, and 91 more nickels than dimes. How many of each coin ar      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1002116: A pop machine contains nickels, dimes and quarters worth 112.25. There are three times as many quarters as there are dimes, and 91 more nickels than dimes. How many of each coin are there? L
Found 2 solutions by CubeyThePenguin, josgarithmetic:
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 = 11225
q = 3d
n = d + 91

Write everything in terms of d.

5n + 10d + 25q = 11225
5(d + 91) + 10d + 25(3d) = 11255
90d + 455 = 11255
90d = 10800
d = 120

There are 211 nickels, 120 dimes, and 360 quarters.

Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
Going through just THIS part:

-------------------------------------------------------------------------
There are three times as many quarters as there are dimes, and 85 more nickels than dimes.
----------------------------------------------------------------------

q quarters
d dimes
n nickels

But you could write 1 equation in 1 variable:
QUARTERS        3d
DIMES            d
NICKELS          d+85