# The value of a number of nickels and quarters is $3.25. If the number of nickels was increased by 3 and the number of quarters was doubled, the value would be $5.90. How do you find the number of each?

##### 1 Answer

There are 10 quarters and 15 nickles needed to make $3.25 and $5.90 given the changes identified in the problem.

#### Explanation:

Let us have the number of quarters equal "q" and the number of nickles equal "n".

"The value of a number of nickels and quarters is $3.25" can then be written as:

If the number of nickels was increased by 3 can be written as

Solving the first equation for

Substituting

Substituting