Question

On a field trip there are 3 chaperones for every 20 students. There are 92 people on the trip. How many chaperones are there?

Answer 1

Number of chaperones on the trip were 12.

Explanation:

Let there were x students on the trip.

Number of chaperones on 20 students = 3

Therefore, number chaperones required for x students =
`(3)/(20)* x`

Total number persons = Number of students + Number of chaperones

= x +
`((3)/(20)* x)`

=
`(23x)/(20)`

Since number of persons on the trip has been given as 92.

92 =
`(23x)/(20)`

x =
`(20* 92)/(23)`

= 80

Therefore, number of students on the trip are 80.

And number of chaperones on the trip = 92 - 80 = 12

Answer 2

Add the chaperones to students: 3 +20 = 23

Divide total people by that:

92 / 23 = 4

Multiply that number by the number of chaperones in the ratio:

4 x 3 = 12

There are 12 total chaperones.