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Kaylis [27]
3 years ago
14

Sandra and Bernice are starting a nutrition and exercise program that will last 12 weeks. Sandra is starting at 150 pounds and p

lans to lose 1 pound a week. Bernice is starting at 135 pounds and plans to lose 1/2 a pound a week. When during the program will Bernice and Sandra weigh the same?
Mathematics
1 answer:
Anvisha [2.4K]3 years ago
6 0

Answer:

They will not have the same weight during the program

Step-by-step explanation:

Let x be the number of weeks.

<u>Sandra:</u>

Sandra is starting at 150 pounds and plans to lose 1 pound a week.

Weight after x weeks:

150-x

<u>Bernice:</u>

Bernice is starting at 135 pounds and plans to lose 1/2 a pound a week.

Weight after x weeks:

135-\dfrac{1}{2}x

Weights must be the same, so

150-x=135-\dfrac{1}{2}x\\ \\\dfrac{1}{2}x-x=135-150\\ \\-\dfrac{1}{2}x=-15\\ \\x=30

Since 30 weeks is more that 12 weeks (the duration of the program), they will not have the same weight during this program.

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