Question

A principal evenly distributes 6 reams of copy paper to 8 fifth-grade teachers How many reams of paper does each fifth-grade teacher receive? b. If there were twice as many reams of paper and half as many teachers, how would the amount each teacher receives change?

Answer 1

a. 0.75 reams

b. The amount of reams received by each teacher would increase by 2.25 reams.

Explanation:

Total reams of copy paper = 6

Number of fifth-grade teachers = 8

a. Number of reams collected by each teacher =
`(number of reams)/(number of teachers)`

=
`(6)/(8)`

=
`(3)/(4)`

= 0.75 reams

b. Twice as many reams of paper = 2 x 6

= 12

Half as many teachers =
`(1)/(2)` x 8

= 4

Number of reams collected by each teacher =
`(12)/(4)`

= 3 reams

The amount of reams received by each teacher would increase by;

3 -
`(3)/(4)`

=
`(12 - 3)/(4)`

=
`(9)/(4)`

= 2.25 reams

The amount of reams received by each teacher would increase by 2.25 reams.