Answer: 352 people responded to Orlando.
Step-by-step explanation:
Let the total number of people be x.
Then, The number of people said Tampa = [tex]x-(\frac{1x}{2}+\fra1}{4}x+\frac{1}{8}x+\frac{1}{16}x+\frac{1}{32}x)[/tex]
[tex]=x-\frac{16x+8x+4x+2x+1x}{32}\\=x-\frac{31x}{32}\\=\frac{32x-31x}{32}\\=\frac{x}{32}[/tex]
⇒The number of people said Tampa = [tex]\frac{x}{32}[/tex]
Since there are 22 people who respond to Tampa.
[tex]\\\Rightarrow\frac{x}{32}=22\\\Rightarrow\ x={22\times32}\\\Rightarrow\ x=704[/tex]
Therefore, the number people responded to Orlando=[tex]\frac{x}{2}=\frac{704}{2}=352[/tex]
