You have $4.10 in nickels, dimes, and quarters. if you have twice as many dimes as quarters, and five more nickels than dimes, how many coins of each type do you have?

For this case, the first thing to do is define variables.

We have then:

We write now the system of equations:

Then rewriting the equations we have:

Then, substituting values we have:

Finally:

19 nickels

14 dimes

7 quarters