Question

In a certain recipe, the ratio of the number of cups of water to the number of cups of flour must be 3:2. How many cups of flour are needed to make three mixtures of such recipe?

Answer 1

`6` cups of flour

Explanation:

Ratio is stated as 2 numbers (usually integers) with "to" between them.
It is usually expressed in the simplest form possible, often with 1 on one side of the ratio, depending on the information being expressed.

e.g
The ratio of fingers to bodies for humans is `10:1` (which is said "ten to one") meaning ten fingers for each 1 body.

The ratio of bodies to fingers is `1:10` (1 body for every 10 fingers).

The ratio of fingers to toes is `1:1`.
This would not normally be stated as the ratio `10:10` although it is normal to have 10 of each, and is actually the same ratio.

So `20:5` would normally be expressed as `4:1`, and `10:6` would be expressed as `5:3`.

The ratio in the question is therefore 3 cups of water for every 2 cups of flour (making 1 recipe mixture).

To make 3 mixtures of the recipe we would therefore need `3*2 = 6` cups of flour.