Question

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.

Answer 1

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 2

Answer: There are
`2(1)/(3)` cups of flour needed.

Explanation:

Since we have given that

Number of dozen muffins =
`1(1)/(2)=(3)/(2)`

Number of cups of flour =
`3(1)/(2)=(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

`(7)/(2)/ (3)/(2)\\\\=(7)/(2)* (2)/(3)\\\\=(7)/(3)\\\\=2(1)/(3)`

Hence, there are
`2(1)/(3)` cups of flour needed.