Question

For Anthony’s birthday, his mother is making cupcakes for his 12 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:

No, there is no enough flour for each of his friends to get a cupcake

Step-by-step explanation:

Let us use the ratio method to solve the question

∵ This recipe makes 2$\frac{1}{2}$ dozen cupcakes

∵ Each dozen contain 12 cupcakes

∴ The number of cupcakes can the recipe make = 2$\frac{1}{2}$  × 12

∴ The number of cupcakes can the recipe make = 30 cupcakes

∵ The recipe calls for 3$\frac{1}{3}$ cups of flour

→ That means 3$\frac{1}{3}$ cups of flour can make 30 cupcakes

∴ 3$\frac{1}{3}$ cups of flour makes 30 cupcakes

∵ Anthony’s mother has only 1 cup of flour

→ By using the ratio method

→  flour  :  cupcake

→  3$\frac{1}{3}$      :  30

→   1       :   x

→ By using cross multiplication

∵ 3$\frac{1}{3}$ × x = 1 × 30

∴ 3$\frac{1}{3}$ x = 30

→ Divide both sides by 3$\frac{1}{3}$

∴ x = 9

∵ x represents the number of cupcakes  

∴ Anthony’s mother can make 9 cupcakes with 1 cup of flour

∵ Anthony has 12 friends at his daycare

∵ The number of the cupcakes = 9

∴ The number of cupcakes is not enough for each of his friends to

   get a cupcake