Question

Nancys sales last week were $140 less than three times Andrea's sales. Together they sold $940. How much did each sell?

Answer 1

Nancy sold $670 and Andrea sold $270.

Explanation:

First, we write the two equations given.

"Nancy's sales last week were `$140` less than three times Andrea's sales"

We write this as:

`N = 3A - 140`

"Together they sold $940."

We write this as:

`N + A = 940`

Solve for A:

`A = 940-N`

Substitute A into first equation:

`N = 3(940 - N) - 140`

Distribute:

`N = 2820 - 3N - 140`

Add like terms and simplify:

`4N = 2680`

Solve for N:

`N = 670`

Plug N into second equation:

`670 + A = 940`

Solve for A:

`A = 270`

Final Answer:

`N = 670, A = 270`

You can double check by plugging either into the equations.