SOLUTION: condi has $5 dollars in her change purse. She only has quarters, nickels and dimes. The number of dimes is equal to the number of quarters and the number of quarters is 1/3 the num

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: condi has $5 dollars in her change purse. She only has quarters, nickels and dimes. The number of dimes is equal to the number of quarters and the number of quarters is 1/3 the num      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1079854: condi has $5 dollars in her change purse. She only has quarters, nickels and dimes. The number of dimes is equal to the number of quarters and the number of quarters is 1/3 the number of nickels. How many dimes?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
q, d, n for quarters, nickels, dimes

system%28d=q%2Cq=n%2F3%29

5%28n%2F3%29%2Bn%2B2%28n%2F3%29=100
5n%2B3n%2B2n=300
n=30


--
30 nickels
10 dimes
10 quarters

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

condi has $5 dollars in her change purse. She only has quarters, nickels and dimes. The number of dimes is equal to the number of quarters and the number of quarters is 1/3 the number of nickels. How many dimes?
Let the number of dimes be D

Then the number of quarters = D

Number of nickels = 3D

We then get: .1D + .25D + .05(3D) = 5

.1D + .25D + .15D = 5

.5D = 5

D, or number of dimes = highlight_green%28matrix%281%2C3%2C+5%2F.5%2C+or%2C+10%29%29