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.

Step-by-step explanation:

Given : The amount of flour a baker has = $8\dfrac{5}{8}\text{ cups}= \dfrac{8\times8+5}{8}\text{ cups}$

$=\dfrac{69}{8}\text{ cups}$

The number of cupcakes he made by using all flour = $3\dfrac{5}{6}=\dfrac{6\times3+5}{6}=\dfrac{23}{6}$

i.e. $\dfrac{23}{6}$ cupcakes made in $\dfrac{69}{8}$ cups of flour

By unitary method ,

1 cupcake made in $\dfrac{69}{8}\times\dfrac{6}{23}$  cups of flour.

i.e. 1 cupcake made in $\dfrac{9}{4}$  cups of flour.

Then , 12 cupcakes can be made in $12\times\dfrac{9}{4}$  cups of flour.

= 27 cups of flour.

Since 1 dozen = 12

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