Question

100 students are interviewed to see which of biology, chemistry or physics they prefer. 49 of the students are girls. 22 of the girls like biology best. 15 of the boys prefer physics. 21 out of the 35 who prefer chemistry are girls. What percentage of the students prefer biology

Answer 1

44%

Explanation:

Total number of students = 100

Number of girls = 49

So,

Number of boys = Total number of students - Number of girls = 100 - 49 = 51

Number of girls liking biology the best = 22

Number of girls liking chemistry = 21

Total number of students liking chemistry = 35

So,

Number of boys liking chemistry = 35 - 21 = 14

Number of boys liking Physics = 15

Number of boys liking biology = Total number of boys - Number of boys liking Physics - Number of boys liking Chemistry = 51 - 14 -15 = 22

Total number of students (girls and boys) liking biology the best = Number of boys liking Biology + Number of girls liking Biology = 22 + 22 = 44

Percentage of students who prefer bio =
`(44)/(100) * 100 = \bold{44\%}`