Question

An attendant collected 45 coins from a parking meter. the value of the coins was $7.25, and there were 5 more quarters than nickels. which system models this situation?

a.) n+5=q and .05n +.25q=7.25
b.) q+5=n and .05n +.25q=7.25
c.) n+5=q and n+q=7.25
d.) n+5=q and 5n+2q=7.25

Answer 1

a.)
`n+5=q` and
`.05n +.25q=7.25`

Explanation:

1. You have that there were 5 more quarters (
`q`) than nickels (
`n`. Therefore, you can express it as below:

`n+5=q`

2. Keeping on mind that the value of the coins was $7.25 and that a quarter is 25 cents and a nickel is 5 cents, you can write the following expression:

`.05n +.25q=7.25`

3. Therefore, the answer is the option a.