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?

Randall=68 pounds, Seth's=40, Joanna's=52

Step-by-step explanation:

Randall's = 3x-7

Seth's = 2x-10

Joanna's = 2x+2

Randall's + Joanna's = 3 (Seth's)

Find X:

Form into an equation (add parentheses)(3x-7) + (2x+2) = 3 (2x-10) REmove parentheses on left side3x-7+2x+2 = 3 (2x-10)Distribute right side= 6x-303x-7+2x+2 = 6x-30Combine like terms5x-5=6x-30subtract 5x from BOTH sides (always subtract, add, multiply, and divide both sides at the same time)-5=x-30Add 30 to BOTH sides25=x

Find how many pounds of trash each friend picked up:

Randall's:

3x-7plug in x  3(25)-7Distribute 75-7= 68

Seth's:

2x-102(25)-1050-10= 40

Joanna's:

2x+22(25)+250+2=52

Double check your answers:

Randall's+Joanna's= Seth's(3)

68+52=40(3)

120=120

You're good to go!

I’ll you if you answer my questions!