Question 4a630

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 $\frac{18}{4}$

$18 \div 4 = 4.5$

Or in a fraction:

$\frac{18}{4} = \frac{9}{2} = 4 \frac{1}{2} = 4.5$ 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:

$\textcolor{b l u e}{\text{Preamble}}$

" "color(brown)("Concept:")
$\text{ }$4 containers implies a split into 4 equal parts.

$\text{ }$18 split into 2 equal parts is $9 + 9$.

$\text{ }$Each split again into 2 equal parts is $4 \frac{1}{2} + 4 \frac{1}{2} + 4 \frac{1}{2} + 4 \frac{1}{2}$
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$\textcolor{b l u e}{\text{Translating this into a numeric manipulation}}$

$18 \text{ split into 2 equal parts } \to 18 \div 2$

This then split into 2 equal parts again: $\to \left(18 \div 2\right) \div 2$

If you divide by 2 this is the same as multiplying by $\frac{1}{2}$

So we have: $\left(18 \div 2\right) \div 2 \text{ " ->" " 18xx1/2xx1/2" "->" } 18 \times \frac{1}{4} = \frac{18}{4}$

Hence we have $\left(\text{weight or mass of chips")/("count of containers}\right)$

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

Or the same thing another way:

$\textcolor{b l u e}{\text{Weight in each container" ="Total weight of chips" -: "Total count of containers}}$

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