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

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) (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:

and

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

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

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

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

I hope this helps! :)

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