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Sandra and Bernice are starting a nutrition and exercise program that will last 12 weeks. Sandra is starting at 150 pounds and plans to lose 1 pound per week. Bernice is starting at 135 pounds and plans to lose 1/2 a pound per week. During which week of the program will Sandra and Bernice weigh the same?

Answer :

Answer:

They won't have the same weight during the program

Step-by-step 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

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