Answer: 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.
