Methods_2024_25_TERM4 Bonchele Baham \( 01 / 23 / 259: 14 \mathrm{PM} \) : 5-3 HW Question 4, 5.3.6 HW Score: \( 33.33 \%, 3 \) of 9 points Points: 0 of 1 A company sold garden hoses at a reduced price of \( \$ 5.52 \) and took an end-of-season markdown of \( \$ 12.43 \). What was the original selling price of each hose? Use the formula \( M=S-N \), where \( M \) is the markdown, \( S \) is the original selling price, and \( N \) is the reduced price. The original selling price of each hose is \$ \( \square \)

To find the original selling price of the garden hoses using the markdown formula \( M = S - N \), we can rearrange it to solve for \( S \): \( S = M + N \). Here, \( M \) is the markdown amount, which is \( 12.43 \), and \( N \) is the reduced price, \( 5.52 \). By plugging in these values, we get \( S = 12.43 + 5.52 = 17.95 \). So the original selling price of each hose is \$17.95. This formula is not just a mathematical trick; it’s a vital part of retail mathematics! Understanding markdowns can help businesses manage inventory, make informed pricing decisions, and ultimately drive sales. Many companies constantly analyze their pricing strategies to ensure they attract customers while also making a profit.