Answer:
Anthony mother's has enough flour for each of Anthony's friends to get a cupcake.
Step-by-step explanation:
Let suppose that Anthony and his friend will receive at least one cupcake, which means that Anthony's mother should make at least 9 cupcakes ([tex]\frac{3}{4}[/tex] dozens).
From statement we notice that quantity of cupcakes is directly proportional to the quantity of flour.
According to the recipe, the required amount of flour and cupcakes are, respectively:
Flour
[tex]3\,\frac{1}{3}\,cups = 3 \,cups +\frac{1}{3}\,cups = \frac{10}{3}\,cups[/tex]
Cupcakes
[tex]2\,\frac{1}{2}\,dozens = 2\,dozens +\frac{1}{2}\,dozens = \frac{5}{2}\,dozens[/tex]
If Anthony's mother has 1 cup of flour at her disposal, the amount of cupcakes is obtained by simple rule of three:
[tex]x = \frac{5}{2}\,dozen\times\frac{1\,cup}{\frac{10}{3}\,cups }[/tex]
[tex]x = \frac{3}{4}\,dozen[/tex]
In a nutshell, Anthony mother's has enough flour for each of Anthony's friends to get a cupcake.
