MATHEMATICS QUESTION

Question

A recipe uses 6 cups of flour to 1 1/6 cups of milk . If you have 2 cups of flour , how much milk should you use ?

The amount of milk in cups for 2 cups of flour is ?

Answer 1

Hi.. This is a ratio problem

A recipe uses 6 cups of flour to 1 1/6 cups of milk .

If you have 2 cups of flour , how much milk should you use?

The information given is

6 Cups of Flour per 1 1/6 cups of milk.

So your ratio of Flour / Milk is 6 cups Flour / (1 1/6) Cups Milk.

Change your 1 1/6 Cups of milk to an improper fraction. 1 1/6 = 7/6 Cups of Milk

Now your ratio is (6 Cups Flour ) / (7/6 Cups Milk)

To determine how much milk should be used for 2 cups of flour, Use the following

(6 Cups Flour ) 2 Cups Flour

-------------------- = --------------------

(7/6 Cups Milk) x

The important thing to remember in setting up ratio problems is If you have Cups of Flour over Cups of Milk in the ratio on the left, You must have Cups of Flour over Cups of milk in your ratio on the right.

Now you can solve the problem by cross multiplying (a/b) = (c/d) ----> ad = cb

(6 Cups Flour) (x ) = (7/6 Cups Milk) (2 Cups Flour)

(x ) = (7/6 Cups Milk)(2 Cups Flour) / (6 Cups Flour)

x = (7/18) Cups of Milk

Hope this helps.. :)