There are 720 boys in a school and 700 girls. The probability that a girl chosen at random studies french is 3/5 and the probability that a boy chosen at random studies french is 2/3. What is the total number of students in the school that study french?

The probability that a girl chosen at random studies french is 3/5. This means that out of 700 girls at the school, three fifths (3/5) girls study french. To find out how many girls study french we must find three fifths of 700. To do this we multipy 700 by 3/5. (If the student does not understand this, I would explain that to find three fifths of 700 we must first find one fifth (1/5) by dividing by 5, which is the same as multipying by 1/5. Then we must find three fifths by mutiplying this number by 3. This is the same by multiplying by 3/5).
700 x 3/5 = 420 girls therefore study french. Its the same working out for boys 700 x 2/3 = 480 boys study french. Therefore the total number of students that study french is 420 + 480 = 900 students.
ANSWER = 900 (3 marks)

Answered by Zoe P. Maths tutor

2951 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Rearrange to make x the subject of the equation: 4(3x+y) = 12-2y


Find the derivative y= x^2-6x+20?


Expand the following equations


In the isosceles triangle ABC, AB=AC and angle B=(3x +32)degrees and angle C=(87-2X)degrees


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo
Cookie Preferences