Question

Three friends fill bags with trash at a neighborhood cleanup. Randall's bag weighs 3x - 7 pounds, Seth's bag weighs 2x - 10 pounds, and Joanna's bag weighs 2x + 2 pounds. Together, Randall's and Joanna's bags weigh 3 times as much as Seth's bag. How many pounds of trash does each friend pick up?

Answer 1

First we set up the given equation to solve for x

(3x-7)+(2x+2)=3(2x-10)

5x-5=6x-30

5x=6x-25

-x=-25

x=25

Then we substitute the value of x in each individual expression, to find out how many pounds of trash each friends picked up.

3(25)-7= 68 pound for Randall

2(25)+2= 52 pounds for Joanna

2(25)-10= 40 pounds for Seth

Answer 2

68 pound for Randall

52 pounds for Joanna

40 pounds for Seth

Explanation:

First we set up the given equation to solve for x

(3x-7)+(2x+2)=3(2x-10)

5x-5=6x-30

5x=6x-25

-x=-25

x=25

Then we substitute the value of x in each individual expression, to find out how many pounds of trash each friends picked up.

3(25)-7= 68 pound for Randall

2(25)+2= 52 pounds for Joanna

2(25)-10= 40 pounds for Seth