One of the teachers at a school is chosen at random. The probability that this teacher is female is 3/5. There are 36 male teachers at the school. Work out the total number of teachers at the school.
This is a 3 marks exam question from the 2016 summer exam with the Edexcel board. The topic tested here is probability. We are given that the probability of having a female teacher is 3 out of 5. This means that the probability of having a male teacher is 1 - 3/5= 2/5, this proportion corresponding to the given 36 male teachers. We know that 36 is 2/5 (40%) of the total number of teachers. Hence 10% will be 36/4= 9 teachers, and 100% will be 90 teachers in total.
EM
Related Maths GCSE answers
All answers ▸f is a function such that f(x)=2/(3x-3) Find the inverse function and ff^-1
Simplify the following: ((1/3)(c^2))^3
The population of a town in 2014 was 80058. This was a 65% increase on its population in 1994. What was the population in 1994?
Probability: These 6 coins are in a box - 10p, 10p, 10p, 20p, 20p, 50p. Someone takes 2 coins at random. What is the probability that the total value of the two coins is at least 40p?