Question

Sansra and bernice are starting a nutrition and exercise that will last 12 weeks. Sandra is starting at 150 pounds and plans to lose 1 pound a week. Bernice is starting at 135 and plans to lose 1/2 a pound a week. When during the program will sandra weight the same?

Answer 1

They won't have the same weight during the program

Explanation:

Let w = number of weeks

SANDRA:

Starting weight = 150 pounds

Weight lost per week = 1 pound

150 - w

BERNICE:

Starting weight = 135 pounds

Weight lost per week = 0.5 pound

135 - 0.5w

WEEK in which they'll weigh the same :

150 - w = 135 - 0.5w

150 - 135 = - 0.5w + w

15 = 0.5w

w = 15/ 0.5

w = 30

Since the program will last 12 weeks, they'll not have the same weight during the program