SOLUTION: Please help me solve this word problem: Each week, Janet earns $240 plus 5% commission sales. Each week Dana earns $270 plus 4% commission of sales. How much would they need to sel

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Please help me solve this word problem: Each week, Janet earns $240 plus 5% commission sales. Each week Dana earns $270 plus 4% commission of sales. How much would they need to sel      Log On


   

Question 902515: Please help me solve this word problem: Each week, Janet earns $240 plus 5% commission sales. Each week Dana earns $270 plus 4% commission of sales. How much would they need to sell to earn the same amount?
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
x = amount of sales that each must sell in order for their commission to be equal.

you get:

240 + .05x = 270 + .04x

subtract 240 from both sides of this equation and subtract .04x from both sides of this equation to get:

.05x - .04x = 270 - 240

simplify to get .01x = 30

divide both sides by .01 to get x = 3000

they would each have to sell 3000 dollars worth of goods in order for each to get the same commission.

janet would get .05 * 3000 + 240 = 390
dana would get .04 * 3000 + 270 = 390