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

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

Explanation:

Let us use the ratio method to solve the question

∵ This recipe makes 2
`(1)/(2)` dozen cupcakes

∵ Each dozen contain 12 cupcakes

∴ The number of cupcakes can the recipe make = 2
`(1)/(2)` × 12

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

∵ The recipe calls for 3
`(1)/(3)` cups of flour

→ That means 3
`(1)/(3)` cups of flour can make 30 cupcakes

∴ 3
`(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
`(1)/(3)` : 30

→ 1 : x

→ By using cross multiplication

∵ 3
`(1)/(3)` × x = 1 × 30

∴ 3
`(1)/(3)` x = 30

→ Divide both sides by 3
`(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