Answer
Chicken needed to serve \[15\]persons is \[11\frac{1}{4}\text{pounds}\].
Work Step by Step
When the number of persons was \[6\], then the amount of chicken required was \[4\frac{1}{2}\]pounds.
Now, when the number of persons is \[15\], then the amount of chicken is,
\[\left( \text{Amount of sugar needed currently} \right)=\frac{\left( \text{Number of persons currently} \right)}{\left( \text{Number of persons initially} \right)}\times \left( \text{Amount of sugar needed initially} \right)\]
Put all the values to calculate the amount of sugar needed:
Amount of sugar needed
\[\begin{align}
& =\left( \frac{15}{6} \right)\times \left( \frac{9}{2} \right)\text{pounds} \\
& =\frac{45}{4}\text{pounds} \\
& =11\frac{1}{4}\text{pounds}
\end{align}\]
Hence, chicken needed to serve \[15\]persons is \[11\frac{1}{4}\text{pounds}\].
