Question

Frank weighs 160 pounds and is on a diet to gain two pounds a week so that he can make the football team. John weighs 208 pounds and is on a diet to loose three pounds a week so that he can be in the wrestling team in a lower wight class.?. If Frank and John can meet these goals with their diets, when will they weigh the same, and how much will they weigh at that time?

Answer 1

Answer:  If Frank and John can meet these goals with their diets , they will weigh same after 9.6 weeks and they will weigh 179.2 pounds.

Step-by-step explanation:

Let x = Number of weeks.

As per given question ,

Weight of Frank after x weeks = 160+2x (pounds)

Weight of John after x weeks = 208-3x (pounds)

When  Weight of Frank= Weight of John

$\Rightarrow\ 160+2x= 208-3x$

$\Rightarrow\ 2x+3x= 208-160$

$\Rightarrow\ 5x= 48\Rightarrow\ x=\dfrac{48}{5}=9.6$

Weight of Frank after 9.6 weeks = 160+2(9.6) = 179.2 pounds

Weight of John after 9.6 weeks = 208-3(9.6)=179.2 pounds

Hence,  If Frank and John can meet these goals with their diets , they will weigh same after 9.6 weeks and they will weigh 179.2 pounds.