SOLUTION: A collection of 32 dimes and nickels are worth $2.50. How many nickels are there?

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: A collection of 32 dimes and nickels are worth $2.50. How many nickels are there?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 668137: A collection of 32 dimes and nickels are worth $2.50. How many nickels are there?
Answer by Adrianne15(25) About Me  (Show Source):
You can put this solution on YOUR website!
Let x represent the number of dimes, and 32-x represent the number of nickels. Remember the values of each coin.
0.1%28x%29%2B0.05%2832-x%29=2.5 Multiply all terms by 100 to get rid of decimals.
10x%2B160-5x=250
5x=90
x=18
Now substitute this "x" back into your expressions for number of dimes/nickels.
Dimes = x
=18
Nickels = 32-x
=32-18
=14
Therefore, there are 18 dimes and 14 nickels.