A principal evenly distributes 6 reams of copy paper to 8 fifth-grade teachers. How much paper dos each teacher receive

A principal evenly distributes 6 reams of copy paper to 8 fifth-grade teachers. How much paper dos each teacher receive

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  2. 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.

  3. We start with 6 reams of copy paper and 8 teachers.

    a) if we distribute the paper equally between all the teachers, then each teacher receive 6/8  (here we are dividing the total number of reams by the number of people that we are are splitting it). but 6/8 is less than one, so we must open the reams in order to split them.

    b) If there were twice as many reams of paper, then we will have 2*6 = 12 reams of paper, and if there where half the number of teachers, then we have 8/2 = 4 teachers.

    Doing the same procedure as before, we have 12 teams for 4 teachers, then each teacher has 12/4 = 3 reams

    before, each teacher received 6/8 reams, and now, each one receive 3.

    if we want to know the change, we need to see the difference between these numbers, so 3 - 6/8 =  3*8/8 - 6/8

    notice that i am multiplying the 3 by 8/8, this is one, but  this way i can have the same denominator in both numbers.

    24/8 - 6/8 = 18/8 = 9/4 = 8/4 + 1/4 = 2 + 1/4

    so each teacher receive 2 + 1/4 reams than before.

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