\begin{tabular}{|r|c|c|c|c|}
\hline
Region & Northeast & Southeast & Southwest & Northwest \\
\hline
Sales & 50 & 100 & 30 & 20 \\
\hline
\end{tabular}

What proportion of sales occurred in the Northwest region?



Answer :

Certainly! Let’s walk through the steps to find the proportion of sales that occurred in the Northwest Region.

Firstly, we need to determine the total sales across all the regions. We can add up the sales from each of the regions:

- Sales in Northeast: 50
- Sales in Southeast: 100
- Sales in Southwest: 30
- Sales in Northwest: 20

Add these sales together to get the total sales:

[tex]\[ \text{Total Sales} = 50 + 100 + 30 + 20 = 200 \][/tex]

Next, we need to find the proportion of the sales that are attributed to the Northwest Region. This is done by dividing the sales in the Northwest by the total sales:

[tex]\[ \text{Proportion of Northwest Sales} = \frac{\text{Sales in Northwest}}{\text{Total Sales}} = \frac{20}{200} \][/tex]

Now, perform the division:

[tex]\[ \text{Proportion of Northwest Sales} = \frac{20}{200} = 0.1 \][/tex]

So, the proportion of sales that occurred in the Northwest Region is 0.1 or 10%.

Thus, the final results are:
- Total Sales: 200
- Proportion of Northwest Sales: 0.1