Question

At a particular school 20% of children travel by bus.

If this represents 280 children, how many children attend the school?

Answer 1

1,400 children attend the school

Explanation:

If 20% is 280, we can set up a proportion to solve for how many attend the school. I will put the percentages on top and the number of children on the bottom:

-> Please note that a percentage divided by 100 becomes a decimial

`(20)/(280)=(100)/(x)`

Cross multiply:

.2 * x = 280 * 1

.2x = 280

Divide both sides of the equation by .2:

1,400 children attend the school

We can check our work by multiplying 1,400 by 0.2:

1,400 * 0.2 = 280 ✓