Respuesta :
Person A.
Weighs 350 pounds and starts losing 3 pounds a month while on a new workout plan.
We can express this situation like the following
[tex]A=350-3m[/tex]Where m is months.
Person B.
Weighs 300 and starts losing 1 pound a month on the same workout plan.
We can express this situation like the following
[tex]B=300-m[/tex]Where m is months.
Now, the problem is asking for the case when Person A will weigh less than Person B, this can be expressed like
[tex]AUsing the expressions we defined before, we have[tex]350-3m<300-m[/tex]Then, we solve for m
[tex]\begin{gathered} -3m+m<300-350 \\ -2m<-50 \end{gathered}[/tex]At last, we divide the inequality by -2, this will change the sign
[tex]\begin{gathered} \frac{-2m}{-2}>\frac{-50}{-2} \\ m>25 \end{gathered}[/tex]