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To make 1 1/2 dozen muffins, a recipe uses 3 1/2 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.

Verified Answer :

apologiabiology

ratio and proportion

convert to inproper fracton first

1 and 1/2=1+1/2=2/2+1/2=3/2

3 and 1/2=3+1/2=6/2+1/2=7/2


3/2dozen=7/2cups
times 2 both sides
3dozen=7cups
divide by 3 both sides
1dozen=7/3cups=2 and 1/3 cup

Answer: There are \(2\dfrac{1}{3}\) cups of flour needed.

Step-by-step explanation:

Since we have given that

Number of dozen muffins = \(1\dfrac{1}{2}=\dfrac{3}{2}\)

Number of cups of flour = \(3\dfrac{1}{2}=\dfrac{7}{2}\)

So, we need to find the number of cups of flour are need for every dozen muffins made.

Number of cups of flour is given by

\(\dfrac{7}{2}\div \dfrac{3}{2}\\\\=\dfrac{7}{2}\times \dfrac{2}{3}\\\\=\dfrac{7}{3}\\\\=2\dfrac{1}{3}\)

Hence, there are \(2\dfrac{1}{3}\) cups of flour needed.

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