Middle School

Justin and Tyson are beginning an exercise program to train for football season. Justin weighs 150 lb and hopes to gain 2 lb per week. Tyson weighs 195 lb and hopes to lose 1 lb per week.

A. If the plan works, in how many weeks will the boys weigh the same amount?
B. What will that weight be?

Answer :

The number of weeks will the boys weigh the same amount is 15 weeks and the weight is 180 lb.

Given,

Justin and Tyson are beginning an exercise program to train for football season.

Justin weighs 150 lb and hopes to gain 2 lb per week.

Tyson weighs 195 lb and hopes to lose 1 lb per week.

We need to find in how many weeks will the boys weigh the same amount If the plan works and the weight be.

How to compare two quantities?

If 3 miles = 2 hours

For 4 miles the number of hours is:

3 miles = 2 hours

4/3 x 3 miles = 4/3 x 2 hours

4 miles = 8/3 hours

We have,

Justin:

Justin weighs 150 lb and hopes to gain 2 lb per week.

Let the number of weeks be W.

We can write the weight of Justin after W weeks as:

150 + 2W _____(1)

Tyson :

Tyson weighs 195 lb and hopes to lose 1 lb per week.

Let the number of weeks be W.

We can write the weight of Tyson after W weeks as:

195 - 1W _____(2)

Now,

The number of weeks both weighs the same:

From (1) and (2)

150 +2W = 195 - 1W

2W + 1W = 195 - 150

3W = 45

W = 45/3

W = 15

We can see that,

From (1) and (2)

150 + 2W = 150 + 2 x 15 = 150 + 30 = 180

195 - 1W = 195 - 1 x 15 = 195 - 15 = 180

Thus the number of weeks will the boys weigh the same amount is 15 weeks and the weight is 180 lb.

Learn more about finding the number of weeks where two people have the same weight under given conditions here:

https://brainly.com/question/2207797

#SPJ2

180 pounds is the answer to your question.

Hope this helps :)