Jeff and Darius are trying to gain weight for the football team Jeff weighs 20 pounds and is gaining 10 pounds per month Darius Waze 150 pounds and is gaining 4 pounds per month how many months will it take for Jeff two way the same as Darius

Let x be the number of months

Jeff weighs 20 pounds and is gaining 10 pounds per month

In 1 month weight gained is 10 pounds

in x month weight, 10x

so Jeff will gain 10x + 20 pounds

Darius Waze 150 pounds and is gaining 4 pounds per month

In 1 month weight gained is 4 pounds

in x month weight, 4x

so Darius will gain 4x + 150 pounds in x months

Now we make the wights same and solve for x

10x + 20 = 4x + 150

Subtract 4x and subtract 20 from both sides

10x + 20 - 4x = 4x + 150 - 20

6x = 130

Divide both sides by 6

x = 21.67

so it will take 21.67 months for Jeff two way the same as Darius