We appreciate your visit to 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. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Answer:
They will not have the same weight during the program
Step-by-step explanation:
Let x be the number of weeks.
Sandra:
Sandra is starting at 150 pounds and plans to lose 1 pound a week.
Weight after x weeks:
[tex]150-x[/tex]
Bernice:
Bernice is starting at 135 pounds and plans to lose 1/2 a pound a week.
Weight after x weeks:
[tex]135-\dfrac{1}{2}x[/tex]
Weights must be the same, so
[tex]150-x=135-\dfrac{1}{2}x\\ \\\dfrac{1}{2}x-x=135-150\\ \\-\dfrac{1}{2}x=-15\\ \\x=30[/tex]
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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