Question

mom's florist sells two dozen Rose's for 24.60. First flowers sells 6 Rose's for 7.50 which florist had the lower cost per rose?

Answer 1

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:

`\begin{gathered} n\text{ = 2 dozen roses ( 2}\cdot12=24\text{ )} \\ S\text{ = \$24.60} \end{gathered}`

First florist sells ( k ) number of roses at a certain price ( M ) as follows:

`\begin{gathered} k\text{ = 6 roses} \\ M\text{ = \$7.5} \end{gathered}`

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:

`\begin{gathered} c_1\text{ = }(S)/(n) \\ \\ c_1\text{ = }(24.6)/(24) \\ \\ c_1=\frac{\text{\$1.025 }}{rose} \end{gathered}`

For First florist:

We will take the ratio of the total cost ( M ) and the number of roses sold ( k ) as follows:

`\begin{gathered} c_2\text{ = }(M)/(k) \\ \\ c_2\text{ = }(7.5)/(6) \\ \\ c_2=\frac{\text{\$}1.25\text{ }}{rose} \end{gathered}`

Then we compare the cost prices ( c ) for roses sold by each florist: