Question

critique reasoning, students in a cooking class made 4 1/2 quarts of soup they served 4/5 of the soup to friends each serving is 3/5 qt what is the number of servings

Answer 1

Given that the class made 4 1/2 quartz of soup

$\begin{gathered} \text{Soup made}\Rightarrow4\frac{1}{2}quartz \\ \Rightarrow\frac{9}{2}\text{quartz} \end{gathered}$

They served 4/5 of the soup to friends, this implies

$\begin{gathered} \frac{4}{5}of\text{ soup}\Rightarrow\frac{4}{5}of\text{ }\frac{9}{2}quartz \\ \Rightarrow\frac{4}{5}\times\frac{9}{2}=\frac{18}{5}qaurtz \\ \text{The amount served is }\frac{18}{5}quartz \end{gathered}$

Since each servings is 3/5 quartz, the number of servings will be

$\begin{gathered} \text{ Number servings =}\frac{Total\text{ quartz served}}{each\text{ serving}}=\frac{\frac{18}{5}}{\frac{3}{5}} \\ \Rightarrow\frac{18}{5}\times\frac{5}{3}=6\text{ servings} \end{gathered}$

The correct number of servings is 6, Hector did not divide the amount of soup served by the equivalent of each servings.

In other words,

$He\text{ did not divide 3}\frac{3}{5}quartz\text{ by }\frac{3}{5}quartz$