Question

The ratio of students who wear glasses to the total class is 2:5. If 5 of the students who didn’t wear glasses now do,what is the ratio of students who wear glasses to those who don’t?

Answer 1

Let's say that the class has a total of 7x students, where 2x wear glasses and 5x don't.

After 5 of the students who didn't wear glasses now do, the number of students who don't wear glasses becomes 5x - 5.

So, the new ratio of students who wear glasses to those who don't wear glasses is:

2x : (5x - 5)

We can simplify this ratio by dividing both terms by the greatest common factor, which is x:

2 : (5 - 5/x)

We can't simplify this any further, but we can see that the ratio is not fixed and depends on the value of x.