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.
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