Question

In a student opinion poll at Jump Middle School 27.5% of the students who responded chose football as their favorite sport. Basketball was chosen by 17.5% of the students who responded. The rest of the people chose “other” sports. “Other” sports were chosen by 44 people in the poll. What is the total number of the people who responded to the poll?

Answer 1

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

$\Rightarrow x \times\frac{55}{100} =44$

$\Rightarrow x=44 \times\frac{100}{55}=80$

∴ The total number of the people who responded to the poll was 80.