Thread: maximum area

The crawleys hallway has 300ft² of wall space. They recived an estimate of $1.40/ft² to paint a wall and 60¢/ft² to wallpaper a wall. With $324 to spend, what is the maximum area they can have painted if the rest has to be papered.

I would greatly appreciate any help.

Originally Posted by begold91

The crawleys hallway has 300ft² of wall space. They recived an estimate of $1.40/ft² to paint a wall and 60¢/ft² to wallpaper a wall. With $324 to spend, what is the maximum area they can have painted if the rest has to be papered.

I would greatly appreciate any help.

The price of the whole thing is:

And:

So:

Go back to the price equation:

Substitute:

Multiply:

Group like terms:

Subtract:

Subtract 180 from both sides:

Divide both sides by 0.8: