Question

70 students have arrived at the cafeteria. This is 35% of the group. How many students are in the group?

Answer 1

200

Explanation:

70 - 35%
x - 100%
x = `(100*70)/35 = 200`

Answer 2

`200`

Explanation:

`70` students arrived at the cafeteria. But that doesn't mean there are only 70 students. The rest are still behind. That `70` students are `35%` of the group. Now they ask us to find the amount of students are there in total.

`35%..........70`
`100%.........x`

Cross multiply

`(35)(x) = (70)(100)`

`35x= 7000`

Divide both sides by `35`

`(cancel35x)/cancel35= 7000/35`

`x=200`

Thus,

There are `200` students in the group!