Answer-
The total number of the 80 students responded to the poll.
Solution-
The percentage of student who responded that football was their favorite sport = 27.5%
The percentage of student who responded that basketball was their favorite sport = 17.5%
As the remaining students opted for others, so the percentage of student who opted other sport = 100-(27.5+17.5) = 100-45 = 55%
The number of student who chose others, was found to be 44. If total number of student participated in the opinion poll was x, then
[tex]\Rightarrow x \times\frac{55}{100} =44[/tex]
[tex]\Rightarrow x=44 \times\frac{100}{55}=80[/tex]
∴ The total number of the people who responded to the poll was 80.
