SOLUTION: I have $0.85 in nickels and dimes. I have 2 more nickels than dimes. How many nickels and dimes do I have?

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: I have $0.85 in nickels and dimes. I have 2 more nickels than dimes. How many nickels and dimes do I have?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 546135: I have $0.85 in nickels and dimes. I have 2 more nickels than dimes. How many nickels and dimes do I have?
Answer by neatmath(302) About Me  (Show Source):
You can put this solution on YOUR website!

This is a problem involving a system of linear equations.

Let N be our number of nickels.

Let D be our number of dimes.

Then we know:

.05%2AN%2B.10%2AD=0.85 and N-2=D

Let's get rid of the decimals in the first equation by multiplying by 100:

5N%2B10D=85

Let's substitute the left side of our second equation in for D in the first equation:

5N%2B10%2A%28N-2%29=85

5N%2B10N-20=85

15N-20=85

15N=105

N=7

Then we can substitute this value back into our second equation:

N-2=D

7=2=D

D=5

Therefore, we have 7 nickels and 5 dimes, for a total of $0.85.

I hope this helps! :)