# 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?

Jul 25, 2018

$6$ 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 $3 \cdot 2 = 6$ cups of flour.