Question

To make 112 dozen muffins, a recipe uses 312 cups of flour.

How many cups of flour are needed for every dozen muffins made?

Enter your answer in the box as a mixed number in simplest form.

Answer 1

Answer: 2 & 11/14 cups of flour

This is a mixed number with 2 as the whole part and 11/14 as the fractional part.

You may need to drop the ampersand sign and simply say 2 11/14

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Work Shown:

112 dozen muffins = 312 cups of flour

112/112 dozen muffins = 312/112 cups of flour

1 dozen muffins = 312/112 cups of flour

1 dozen muffins = (39*8)/(14*8) cups of flour

1 dozen muffins = 39/14 cups of flour

1 dozen muffins = (28+11)/14 cups of flour

1 dozen muffins = (28/14+11/14) cups of flour

1 dozen muffins = (2+11/14) cups of flour

1 dozen muffins = 2 & 11/14 cups of flour

Answer 2

Interesting question.

112/12 = 28/3

so 3/28 * 112 = 12

so we multiply 3/28 * 312

936/28

Simplifying we get 33 3/7

`33 (3)/(7)` is the answer.