Question

Theresa has $12 in nickels and quarters. If she has the same number of each kind of coin, how many nickels and quarters does she have?

Answer 1

Answer: She has 40 nickels and 40 quarters .

Explanation:

Let be "n" the number of nickels Theresa has and "q" the number of quarters Theresa has.

You know that she has a total of $12 in nickels and quarters. In cents, this is:

`\$12*100=1,200\ cents`

Then, based on this you can write the following expression:

`5n+25q=1,200`

Since
`n=q`, you can rewrite it as:

`5n+25n=1,200`

Solving for "n", you get:

`30n=1,200\\\\n=(1,200)/(30)\\\\n=40`

Therefore she has 40 nickels and 40 quarters .