Question

A group of students have been surveyed to determine if they prefer to work in groups or individually for projects. There are 8 students who prefer to work in groups for every 10 students who prefer to work individually. If there were 2,200 students who prefer to work in groups, how many students were surveyed in total?

Answer 1

ANSWER. -

Let's call the number of students who prefer to work individually "x".

We know that for every 8 students who prefer to work in groups, there are 10 who prefer to work individually. This can be written as:

8/10 = 0.8

So, for every 0.8 students who prefer to work individually, there is 1 who prefers to work in a group.

If we set up a proportion, we can solve for x:

8/10 = 2200/x

To solve for x, we can cross-multiply:

8x = 22000

x = 2750

Therefore, a total of 4950 students were surveyed (2200 who prefer to work in groups + 2750 who prefer to work individually).