Question

For Anthony's birthday, his mother is making cupcakes for his 8 friends at his daycare. The recipe calls for 3 1/3 cups of flour. This recipe makes 2 1/2 dozen cupcakes. Anthony's mother has only 1 cup of flour. Is there enough flour for each of his friends to get a cupcake?

Answer 1

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 ($\frac{3}{4}$ 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

$3\,\frac{1}{3}\,cups = 3 \,cups +\frac{1}{3}\,cups = \frac{10}{3}\,cups$

Cupcakes

$2\,\frac{1}{2}\,dozens = 2\,dozens +\frac{1}{2}\,dozens = \frac{5}{2}\,dozens$

If Anthony's mother has 1 cup of flour at her disposal, the amount of cupcakes is obtained by simple rule of three:

$x = \frac{5}{2}\,dozen\times\frac{1\,cup}{\frac{10}{3}\,cups }$

$x = \frac{3}{4}\,dozen$

In a nutshell, Anthony mother's has enough flour for each of Anthony's friends to get a cupcake.