A survey was conducted among 100 students of age groups 7-12 years and 13-18 years to find their favorite book genre. The students had to select any one genre out of detective, adventure, and biography. Out of the 50 students in the age group 7-12 years who participated in the survey, 23 liked adventure or biography. The total number of students of both age groups who liked detective books was 28. Using a two-way table, compute the total number of students in the age group 13-18 years who liked adventure or biography.

a. 23

b. 27

c. 49

d. 51

Question

Tyrell

Mathematics

23 November, 07:21

A survey was conducted among 100 students of age groups 7-12 years and 13-18 years to find their favorite book genre. The students had to select any one genre out of detective, adventure, and biography. Out of the 50 students in the age group 7-12 years who participated in the survey, 23 liked adventure or biography. The total number of students of both age groups who liked detective books was 28. Using a two-way table, compute the total number of students in the age group 13-18 years who liked adventure or biography.

a. 23

b. 27

c. 49

d. 51

+4

Answers (1)

Know the Answer?

Kaufman · Answer 1

The correct answer is C. 49.

Remember that there are 100 students divided into 7-12 and 13-18 age group. So there should be 50 for each. The table should go like this:

7-12 age group

23 adventure or biography

27 - detective

so you just have to subtract 50 from 23, which makes it 27. The remaining belongs to the 13-18 age group.

13-18 age group

1 - detective

49 - adventure or biography.