SOLUTION: A collection of nickels, dimes and quarters consists of 22 coins with a total value of $1.75. If the number of nickels is three times the number of dimes, how many of each coin are

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Question 1169251: A collection of nickels, dimes and quarters consists of 22 coins with a total value of $1.75. If the number of nickels is three times the number of dimes, how many of each coin are contained in the collection?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
d dimes
3d nickels
q quarters

system%284d%2Bq=22%2C10d%2B5%2A3d%2B25q=175%29

system%284d%2Bq=22%2C25d%2B25q=175%29

system%284d%2Bq=22%2Cd%2Bq=7%29
E1-E2:
3d=15
highlight%28d=5%29-----------use this to find the other two.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
A collection of nickels, dimes and quarters consists of 22 coins with a total value of $1.75. If the number of nickels is three times the number of dimes, how many of each coin are contained in the collection?
Let number of dimes be D

Then number of nickels = 3D, and number of quarters = 22 - (D + 3D) = 22 - 4D

We then get: .1D + .05(3D) + .25(22 - 4D) = 1.75

.1D + .15D + 5.5 - D = 1.75

- .75D = - 3.75

Number of dimes, or 

The number of nickels and quarters are now easy to find!