Respuesta :
We are to compare the cost of each rose sold by two florists.
Mom's florist sells ( n ) number of roses at a certain price ( S ) as follows:
[tex]\begin{gathered} n\text{ = 2 dozen roses ( 2}\cdot12=24\text{ )} \\ S\text{ = \$24.60} \end{gathered}[/tex]First florist sells ( k ) number of roses at a certain price ( M ) as follows:
[tex]\begin{gathered} k\text{ = 6 roses} \\ M\text{ = \$7.5} \end{gathered}[/tex]We will determine the cost price of each rose ( c ) sold by the two florist.
For Mom's florist:
We will take the ratio of the total cost ( S ) and the number of roses sold ( n ) as follows:
[tex]\begin{gathered} c_1\text{ = }\frac{S}{n} \\ \\ c_1\text{ = }\frac{24.6}{24} \\ \\ c_1=\frac{\text{\$1.025 }}{rose} \end{gathered}[/tex]For First florist:
We will take the ratio of the total cost ( M ) and the number of roses sold ( k ) as follows:
[tex]\begin{gathered} c_2\text{ = }\frac{M}{k} \\ \\ c_2\text{ = }\frac{7.5}{6} \\ \\ c_2=\frac{\text{\$}1.25\text{ }}{rose} \end{gathered}[/tex]Then we compare the cost prices ( c ) for roses sold by each florist:
[tex]\begin{gathered} c_1Hence,[tex]\text{Mom's florist has the lower cost per rose}[/tex]
