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

1 Answer

Answer:

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.