FORMULA
The formula used to calculate the weight is given to be:
[tex]\frac{w}{2}-3H=53[/tex]We can attempt to make the weight, w, the subject of the formula. This we can do by following the steps below:
Step 1: Add 3H to both sides of the formula
[tex]\frac{w}{2}=53+3H[/tex]Step 2: Multiply both sides of the equation by 2
[tex]w=2(53+3H)[/tex]Step 3: Expand the brackets by multiplying through by 2
[tex]w=106+6H[/tex]CALCULATION
The person is 5' 6". If 5' is subtracted from this height, we have 6 inches. Therefore:
[tex]H=6[/tex]Solving with this value, we can get the weight to be:
[tex]\begin{gathered} w=106+6(6)=106+36 \\ w=142 \end{gathered}[/tex]ANSWER
The healthy weight of a 5' 6" person is 142 pounds.