Question

In a school, 2/3 of students study a language. Of those who study a language, 2/5 study French. Find the Ratio of student who study French to students who do not study French. Give your answer in the simplest form.
Must be in Ratio __ : __

Answer 1

Okay, so, you'd have to first multiply 2/3 and 2/5, which gives you 4/15.

This means that, overall, 4/15 students study French, which means that 11/15 students do not study French.

Therefore, the ratio of students that study French to students who do not study French is 4:11.

Answer 2

Answer: 4:11

Step-by-step explanation:

Given : Fraction of students study a language $=\dfrac{2}{3}$

Let x be the number of students in the school.

Then , No. of students study a language $=\dfrac{2}{3}x$

Fraction of students who study a language study French  $=\dfrac{2}{5}$

No. of of students who study a language study French  $=\dfrac{2}{5}x$

No. of students study French =$\dfrac{2}{5}\times\dfrac{2x}{3}=\dfrac{4x}{15}$

Then, the number of students do not study French = $x-\dfrac{4x}{15}=\dfrac{15x-4x}{15}=\dfrac{11x}{15}$

Now, the ratio of student who study French to students who do not study French:-

$\dfrac{\dfrac{4x}{15}}{\dfrac{11x}{15}}=\dfrac{4}{11}=4:11$

Hence, the required answer =  4:11