Question

A teacher survey of 130 bed degree of students that, 30 read both english and mathematics, 10 read neither english nor mathematics and twice as many students read english as mathematics. Use this information to answer the following questions

(a) how many students read english
(b) how many students read mathematics
(c) how many students read only english
(d) how many students read only mathematics

Answer 1

a) 80 b) 40 c) 60 d) 30.

Explanation:

30 read English and Mathematics.

10 read neither, so 130 - (30 + 10) = 90 students either read only English or only. Maths.

Number who read English = 2 * number reading Maths.

(a) Number reading English = 2/3 * 30 + 2/3 * 90

= 20 + 60 = 80

b) Number reading Maths = 1/3 * 30 + 1/3 * 90

= 10 +30 = 40

c) Those reading only English = 90 * 2/3 = 60.

d) Those reading only Maths = 1/3 = 90 * 1/3 = 30