Your cousin installs weather stripping for x dollars per foot and insulation for (x + 5) dollars per foot. This week he intalled 480 feet of weather stripping and 2200 feet of insulation. His expenses are $7500. His profit is $11540. Find the prices your cousin charges to install insulation and weather stripping
2006-11-25 08:54:28 · 2 answers · asked by AJ 1 in Education & Reference ➔ Homework Help
THE BEST WAY YOU KNOW HOW
2006-11-25 09:00:21 · answer #1 · answered by Anonymous · 0⤊ 0⤋
How do you do this? It is done by setting up a formula.
The total from installing weather stripping is x dollars per foot. Therefore for installing 480 feet, he gets 480x dollars.
The total from installing insulation is x+5 dollars per feet and he installed 2200 feet. So the total is 2200(x+5) dollars.
Price he charges is expense + profit, so it is
7500 + 11540
If I combine those two formulas, we get:
480x + 2200(x+5) = 7500 + 11540
480x + 2200x + 11000 = 7500 + 11540
480x + 2200x = 7500 + 11540 - 11000
2680x = 8040
x = 8040 / 2680
x = 3
Now, go back to the original statement....
weather stripping is x dollars so it's 3 dollars
insulation is x+5 dollars so it's 8 dollars.
2006-11-25 17:11:20 · answer #2 · answered by tkquestion 7 · 0⤊ 0⤋