Question

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

Answer 1

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