Question

Stan has 52 quarters and nickels. He has three times as many nickels as quarters. How much money does he have?

Answer 1

$5.20

Explanation:

Start off by forming an equation:
We know that there are a total of 52 coins made up of quarters and nickels.
So the number of nickels plus the number of quarters equals 52.

Algebraically: `n+q=52`
where `n` is the number of nickels and `q` is the number of quarters.

We know that there are 3 times as many nickels as quarters, so the number of nickels `n` is 3 times the number of quarters `q`:
`n=3q`

Substitute that into our initial equation to obtain:
`4q=52`
which can be solved to get:
`q=13`
so there are 13 quarters.

Use this result to find the number of nickels from the first equation:
`n+13=52`
so:
`n=39`

check:
`39/13=3`

Nickels are worth 5 cents and quarters are worth 25 cents.
So total money `T=(39xx5)+(13xx25)=520` cents
`520` cents`=$5.20`