Question #4a630

2 Answers
Sep 3, 2016

4.5 ounces will fit in each container

Explanation:

We we are trying to "share out" the 18 ounces between 4 containers.

This is done by dividing:

#18 div 4 # which can also be written as #18/4#

#18 div 4 = 4.5 #

Or in a fraction:

#18/4 = 9/2 = 4 1/2 =4.5# oz

So 4.5 ounces will fit in each container.

Sep 5, 2016

Assumption: The question is asking: 18 oz of apple chips split so that there is exactly the same weight of chips in each of 4 containers.....

Explanation:

#color(blue)("Preamble")#

#" "color(brown)("Concept:")#
#" "#4 containers implies a split into 4 equal parts.

#" "#18 split into 2 equal parts is #9+9#.

#" "#Each split again into 2 equal parts is # 4 1/2 + 4 1/2+ 4 1/2 + 4 1/2#
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(blue)("Translating this into a numeric manipulation")#

#18" split into 2 equal parts "->18 -:2#

This then split into 2 equal parts again: #->(18 -:2) -:2#

If you divide by 2 this is the same as multiplying by #1/2#

So we have: #(18 -:2) -:2" " ->" " 18xx1/2xx1/2" "->" "18xx1/4 = 18/4#

Hence we have #("weight or mass of chips")/("count of containers")#

#color(blue)("Weight in each container" =("Total weight of chips")/("Total count of containers"))#

Or the same thing another way:

#color(blue)("Weight in each container" ="Total weight of chips" -: "Total count of containers")#

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