Question

Translate to a system of equations: During two years in college, a student earned $9,500. The second year, she earned $500 more than twice the amount she earned the first year. Call the amount that the student earned in the first year f and the amount she earned in the second year s.

Answer 1

s = 2f + 500

Explanation:

She earned twice the amount she got the first year. This is 2f.

Then, we learn she gets 500 more than this. 2f + 500.

This is equal to the second year amount, which is s.

Answer 2

`f+s = 9500`

`s = 2f + 500`

Explanation:

We have that:

f is the amount he earned in the first year.

s is the amount he earned in the second year.

During two years in college, a student earned $9,500.

This means that:
`f+s = 9500`.

The second year, she earned $500 more than twice the amount she earned the first year.

This means that
`s = 2f + 500`.

So the system of equations is:

`f+s = 9500`

`s = 2f + 500`