Question

A recipe uses 3 cups of flour to 1 1/6 cups of milk. if you have 2 cups of flour how much milk should u use

Answer 1

1 1/6 cups of milk = 6 / 6 + 1 / 6 = 7 / 6 cups of milk

Proportion:

3 cups of flour 2 cups of flour
-------------------- = ---------------------
7 / 6 cups of milk x cups of milk


3 2
------ = ---
7 / 6 x


Solve for x:

3 ∙ x = 2 ∙ 7 / 6

3 x = 2 ∙ 7 / 2 ∙ 3

3 x = 7 / 3

Multiply both sides by 3

9 x = 7

Divide both sides by 9

x = 7 / 9 cups of milk


OR

2 cups of flour / 3 cups of flour = 2 / 3

2 / 3 ∙ 1 1/6 = 2 / 3 ∙ 7 / 6 = 14 / 18 = 2 ∙ 7 / 2 ∙ 9 = 7 / 9 cups of milk

Answer 2

My typo:

3 2
------ = ---
7 / 6 x

means

3 / ( 7 / 6 ) = 2 / x