Mr. Miller mixed red paint and blue paint in the ratio 3:2 for painting job

If he use 10 litres of blue paint, how many red paint did he use ?

3 / 2 = x / 10

To mix red paint and blue paint in a ratio of 3:2, follow these steps:

Step 1: Determine the amount of red paint needed.
- Let's assume the red paint needed is represented by "3x."
- This means that for every part of blue paint, you'll need 3 parts of red paint.

Step 2: Determine the amount of blue paint needed.
- Let's assume the blue paint needed is represented by "2x."
- This means that for every part of red paint, you'll need 2 parts of blue paint.

Step 3: Calculate the total amount of paint needed.
- To find the total amount of paint needed, add the amounts of red and blue paint: 3x + 2x = 5x.

Therefore, to mix red paint and blue paint in the ratio 3:2, you'll need a total of 5 parts of paint (3 parts of red paint and 2 parts of blue paint) for the painting job.

To determine how much red paint and how much blue paint Mr. Miller mixed, we need to consider the ratio of 3:2. This means that for every 3 parts of red paint, he used 2 parts of blue paint.

To calculate the actual quantities used, you need to know the total amount of paint mixed. Let's say the total amount of paint used was x units.

Using the ratio, Mr. Miller used 3/5 of the total amount, since the ratio is 3:2 (3 parts red, 2 parts blue) and the total ratio is 3+2=5 parts. Therefore, the amount of red paint used is (3/5)x units.

Similarly, Mr. Miller used 2/5 of the total amount for blue paint. Therefore, the amount of blue paint used is (2/5)x units.

By multiplying these fractions by the total amount of paint used, x, we can find the specific quantities of red and blue paint used.