Question

You mix 2/3 quart of blue paint for every 3/4 quart of red paint to make 4 and 1/4 quarts of purple paint. How much blue paint and How much red paint do you use?

Answer 1

Answer: 9/4 (or 2 and 1/4) quarts of red paint, & 2 quarts of blue paint.

Explanation:

We know the amount of blue paint (2/3) is proportional to the amount of red paint (3/4).

Let's first add 2/3 and 3/4, that will make 17/12 quarts of purple paint. Call this a "serving".

The next step is to find out how many "servings" you need to make to make 4 and 1/4 quarts of purple paint.

4 and 1/4 = 17/4

17/4 divided by 17/12 = 3

Now we know the number of servings to make, which is 3.

Since 3/4 quarts of red paint is enough for one serving, we need to multiply this by 3. We can apply the same logic to the blue paint.

3/4 * 3 = 9/4

2/3 * 3 = 2

There's your answers.