Question

In a survey, 2 out every 3 students preferred watching TV to reading books. If 45 students were interviewed, then how many preferred watching TV

Answer 1

Answer:

The no. of students who liked television over books is 30.

Step-by-step explanation:

Two out of three means it can be expressed as ratio 2:3

Now it is asking the same question but no. of students is 45 while we don't know the no. of students who said they like television this time. This means that it can be expressed in the ratio x:45.

Both ratios are proportional. So it can be expressed like this :

$2:3::x:45$

Mathematically the above expression is same as :

$\frac{2}{3}=\frac{x}{45}$

$\frac{2}{3}×45=x$

$x=30$