Question

200 students attend a school which offers French and History.

10% of those who take History also take French and 4 times as many students take History as take French.
8% of the students take neither History or French.
By drawing a Venn Diagram find the number of students who take French.

Answer 1

40

Explanation:

The amount of students who don't take either class is 8% * 200 = 0.08 * 200 = 16 which means that the sum of students who take the classes is 200 - 16 = 184. Let's call the amount of French students x. Therefore the amount of students who take History is 4x and the amount of students who take both is 10% * 4x = 0.4x. To find x we can write:

(x + 4x) - 0.4x = 184

4.6x = 184

x = 40 so the answer is 40.