Question

A survey showed that students were 2:3 in favour of the new team logo. In all, 780 people were surveyed, how many were in favour of the new logo?

156 students
312 students
468 students
520 students

Answer 1

468 students were in favour of the new logo

Answer 2

312 students

Explanation:

---- If 2 : 3 is a ratio of "in favour" vs "against to" then

`(2)/(3)` =
`(x)/(780-x)`

3x = 2(780 - x)

3x + 2x = 1560

x = 312