\begin{tabular}{l} : 5-3 HW \\ \( \qquad 1 \leftarrow \begin{array}{l}\text { A store had } 896 \text { swimsuits that were marked to sell at } \$ 44.95 \text {. Each suit was marked down } \$ 16.90 \text {. Find the reduced price using the formula } \mathrm{M}=\mathrm{S}-\mathrm{N} \text {, where } \mathrm{M} \text { is the markdoum, } \mathrm{S} \\ \text { is the original selling price, and } \mathrm{N} \text { is the reduced price. }\end{array} \) \\ \hline\end{tabular}

To find the reduced price of the swimsuits after the markdown, you simply need to substitute the values into the formula \( M = S - N \). Here, \( S \) is the original price of $44.95, and \( M \) is the markdown of $16.90. So, rearranging the formula gives us \( N = S - M \). Plugging in the numbers, \( N = 44.95 - 16.90 \), which equals $28.05. Voila! The reduced price of each swimsuit is $28.05! Now, let's think about how markdowns can affect sales in the real world. Retailers often reduce prices to increase sales volume, especially for seasonal items like swimsuits, to clear out inventory. A well-planned markdown can lead to more foot traffic, making it easier for stores to sell other products, too! So, next time you see a sale, remember that markdowns can be a win-win for both the retailer and the shopper!