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 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?

The number of weeks for which frank and John will weigh the same and the weights are;

Number of weeks = 9.6 weeks

Weight = 179.2 pounds

Let the number of weeks which they will weigh the same be x.

For them to weigh the same after x weeks, it means that;

160 + 2x = 208 - 3x

2x + 3x = 208 - 160

5x = 48

x = 48/5

x = 9.6 weeks

Weight after 9.6 weeks is;

Frank; 160 + 2(9.6) = 179. 2 pounds

John; 208 - 3(9.6) = 179.2 pounds

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 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

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.

the answer is y < -3 or   y > 3

-3y > 7 + 2

-3 y > 9

y < -3