Question

A baker has 8 5/8 cups of flour to make cupcakes. The baker used all of his flour to make 3 5/6 dozen cupcakes. How many cups of flour would the baker need to make one dozen cupcakes?

Answer 1

2 1/4 cups of flour to make 1 dozen cupcakes

Answer 2

Answer: 1 dozen cupcakes can be made in 12 cups of flour.

Explanation:

Given : The amount of flour a baker has =
`8(5)/(8)\text{ cups}= (8*8+5)/(8)\text{ cups}`

`=(69)/(8)\text{ cups}`

The number of cupcakes he made by using all flour =
`3(5)/(6)=(6*3+5)/(6)=(23)/(6)`

i.e.
`(23)/(6)` cupcakes made in
`(69)/(8)` cups of flour

By unitary method ,

1 cupcake made in
`(69)/(8)*(6)/(23)` cups of flour.

i.e. 1 cupcake made in
`(9)/(4)` cups of flour.

Then , 12 cupcakes can be made in
`12*(9)/(4)` cups of flour.

= 27 cups of flour.

Since 1 dozen = 12

Then , 1 dozen cupcakes can be made in 12 cups of flour.