Question

Ronelle asked 100 students to choose their favorite subject from among mathematics, history, and art. She found that 22 students chose mathematics, 26 history, and the rest art. What percent of students chose art?
a 22%
b 26%
c 48%
d 52%

Answer 1

Number of students that chose art = 100-(22+26) = 100- 48 = 52

so percentage of students who chose art = 52%

Answer 2

Answer:

Step-by-step explanation:

Given that,

Total student is 100

Universal set U = 100

Student that chose mathematics

n(M) = 22

Student that chose history

n(H) = 26

The rest chose art

Since the student are choosing one subject then, the set is a disjoint set, so no student is choosing two subjects at once,

Then,

n(M) + n(H) + n(A) = U

n(A) = U — n(H) — n(M)

n(A) = 100—26—22

n(A) = 52

Number of student that choose art is 52

Then, the percentage of student that choose art is

%Art = n(A) / U × 100

%Art = 52 / 100 × 100

%Art = 52%