Question

14. (a) In a year group of 100 students at School A, 73 students study Maths and 58 students study Physics. Two students study neither Maths nor Physics. How many students study both Maths and Physics?

(b) In a year group of 150 students at School B, 24% of students study both Maths and Physics. In which school are there more pupils studying both Maths and Physics? You must show workings to support your answer.

Answer 1

(a) If 73 students study Maths and 58 students study Physics, then there are 73+58 = 131 students in total who study either Maths or Physics, or both. There are 100 students in the year group, so 100-131 = -31 students study neither Maths nor Physics. However, we know that 2 students study neither Maths nor Physics, so there are 2-31 = -29 students who study both Maths and Physics.

(b) In School B, 24% of the students study both Maths and Physics, which is 24/100*150 = 36 students. Therefore, there are more pupils studying both Maths and Physics in School A.