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 ā€œotherā€ sports. ā€œOtherā€ sports were chosen by 44 people in the poll. What is the total number of the people who responded to the poll?

Respuesta :

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.