יום רביעי, 28 באוקטובר 2015

3 people bought a pizza together?

today i met with two friends and i suggested we buy a pizza together.
so we divided the price and when the pizza was served we each ate two slices.
this is not a "word problem" for math practice theory but a true event which occirred. the pie cost 9 dollar so we each pay 3.
now here is the "problem" we are buddies and want to be "fair" but a pizza has 8 slices that is the familiar pizza so how do you divide it?
first write the problem:
2 pieces/slices divided for 3 people--> i type on the computer: 2/3 wait that is also the answer! 
2/3 is also the solution. it does mean 2 divided by three but the same 2/3 also means two thirds in which each friend gets 2/3 instead of one getting "less" than the others.
so we cut it and each one got part.
theory
how would we write 2 "six-packs" of cola and two more cans?
2*6+2 meaning two "groups of" six and two more. we know this must be 14 therefore even when we read 2+2*6 the meaning is 2 and 2 groups of six must be 14 so we first multiply and then add.
if we would do the order of reading: 2 cans and two groups of six=24 that would be false.
we can only add first when we use the factors 2+2*(2+3)=2+2*6

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