Question

A survey was conducted among 400 students of age groups 7–12 years and 13–18 years to find their favorite music genre. The students had to select any one genre out of jazz, rock, and pop. Out of the 200 students in the age group 7–12 years who participated in the survey, 142 liked rock or pop music. The total number of students of both age groups who liked jazz was 72.

Using a two-way table, compute the total number of students in the age group 13–18 years who liked rock or pop music.

122
130
142
186

Answer 1

@Vocaloid

Answer 2

how

Answer 3

whoops, small correction, the circled value should be this one

Answer 4

anyway, the first row tells us that

(number of kids aged 7-12 who like jazz) + (number of kids aged 7-12 who like rock or pop) = 200

find the number of kids aged 7-12 who like jazz

Answer 5

I have to get going, but maybe this will help explain it a bit better?

Answer 6

A + 142 = 200
A + B = 72
B + C = D
200 + D = 400

the value we want to find is C

Answer 7

first find A, then B, then D, and then you can use that information to find C

Answer 8

good explanation @Vocaloid

Answer 9

kk

Answer 10

idk how

Answer 11

srry

Answer 12

@Vocaloid

Answer 13

to find A
A+142=200
A=200-142
A=?

Answer 14

58

Answer 15

good
now A+B=72
A=58 so
58+B=72
B=72-58

Answer 16

14

Answer 17

good B+C= D
lets look at the last equation
200+D=400
D=400-200
D=?

Answer 18

200

Answer 19

good now B+C=D
and B=14 and D=200
so 14+C=200
c=200-14
c=??

Answer 20

186

Answer 21

yep

Answer 22

thx

Answer 23

welcome thanks to @Vocaloid