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

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

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 (
`(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\,(1)/(3)\,cups = 3 \,cups +(1)/(3)\,cups = (10)/(3)\,cups`

Cupcakes

`2\,(1)/(2)\,dozens = 2\,dozens +(1)/(2)\,dozens = (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 = (5)/(2)\,dozen*(1\,cup)/((10)/(3)\,cups )`

`x = (3)/(4)\,dozen`

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