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.
