Answer :
[tex]\text{the original selling price }of\text{ each hose is \$18.99}[/tex]Explanation:
reduced price = $5.56
markdown = $13.43
Selling price = ?
The formula relating the three terms:
[tex]\begin{gathered} M\text{ = S - N} \\ \text{where m = markdown} \\ s\text{ = selling price } \\ N\text{ = reduced price} \end{gathered}[/tex][tex]\begin{gathered} To\text{ get S, we will add N to both sides. Then we will substitute the values} \\ M\text{ + N = S - N + N} \\ M\text{ + N = S} \\ \\ \text{substitute the values:} \\ 13.43\text{ + 5.56 = S} \end{gathered}[/tex][tex]\begin{gathered} S\text{ = 18.99} \\ \\ \text{Hence, the original selling price }of\text{ each hose is \$18.99} \end{gathered}[/tex]