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?

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lilburrburr lilburrburr · Answer 1 · 2016-10-12T13:55:04+02:00

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

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JeanaShupp JeanaShupp · Answer 2 · 2020-03-23T03:27:03+01:00

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

Step-by-step explanation:

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

[tex]=\dfrac{69}{8}\text{ cups}[/tex]

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

i.e. [tex]\dfrac{23}{6}[/tex] cupcakes made in [tex]\dfrac{69}{8}[/tex] cups of flour

By unitary method ,

1 cupcake made in [tex]\dfrac{69}{8}\times\dfrac{6}{23}[/tex] cups of flour.

i.e. 1 cupcake made in [tex]\dfrac{9}{4}[/tex] cups of flour.

Then , 12 cupcakes can be made in [tex]12\times\dfrac{9}{4}[/tex] cups of flour.

= 27 cups of flour.

Since 1 dozen = 12

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