Question #4a630

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.

`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`
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`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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