Question

At least 100 students at a certain high school study Japanese. If 4 percent of the students at the school who study French also study Japanese, do more students at the school study French than Japanese?
(1) 16 students at the school study both French and Japanese.
(2) 10 percent of the students at the school who study Japanese also study French.

Answer 1

Answer: Yes, Number of students who study French is greater than number of students who study Japanese.

Step-by-step explanation:

Since we have given that

Number of high school students study Japanese  ≥ 100

Percent of high school students who study French also study Japanese = 4%

If the Percent of the students who Japanese also study French = 10%

So, our equation becomes

$0.04\times F=0.10\times J\\\\\dfrac{F}{J}=\dfrac{0.10}{0.04}=\dfrac{10}{4}$

With the help of ratio, we get that

Number of students who study French is greater than number of students who study Japanese.

Hence, Yes, Number of students who study French is greater than number of students who study Japanese.