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?

Respuesta :

Answer:

a. 0.75 reams

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

Step-by-step explanation:

Total reams of copy paper = 6

Number of fifth-grade teachers = 8

a. Number of reams collected by each teacher = [tex]\frac{number of reams}{number of teachers}[/tex]

                                                    = [tex]\frac{6}{8}[/tex]

                                                    = [tex]\frac{3}{4}[/tex]

                                                    = 0.75 reams

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

                                                        = 12

Half as many teachers = [tex]\frac{1}{2}[/tex] x 8

                                      = 4

Number of reams collected by each teacher = [tex]\frac{12}{4}[/tex]

                                       = 3 reams

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

                                     3 - [tex]\frac{3}{4}[/tex]

                                       = [tex]\frac{12 - 3}{4}[/tex]

                                       = [tex]\frac{9}{4}[/tex]

                                      = 2.25 reams

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