Question

Forest Valley School has a 2:19 staff to student ratio. If there are 44 staff, how many people are in the

school in all?

Answer 1

if there are 44 staff you need to divide it by 22 to get to the 2 you originally had. this means you need to multiply the 19 by 22 to get 418

Answer 2

462

Explanation:

staff : student = 2 : 19

If there are 44 staff, ratio of staff to student = 44 : ?

Therefore, 2 : 19 = 44 : ?

⇒ 2/19 = 44/?

⇒ 2 x ? = 44 x 19

⇒ 2 x ? = 836

⇒ ? = 836 ÷ 2 = 418

So there are 418 students and 44 staff.

Total people in school = 418 + 44 = 462