Question

To make the turquoise paint, she must mix white and blue paint together in the ratio 6 :4. If she uses 2 litres of blue paint; how much white paint should she use?

Answer 1

To make turquoise paint in a ratio of 6:4 for white to blue and using 2 litres of blue paint, the student needs 3 litres of white paint. This is determined by simplifying the ratio and using a proportion.

Step-by-step explanation:

To mix turquoise paint using a ratio of 6:4 for white to the blue paint, and if the student uses 2 litres of blue paint, we need to find how much white paint should be used.

First, let's simplify the ratio to its smallest form, which will be 3:2 because 6 divided by 2 is 3, and 4 divided by 2 is 2. Since the ratio is now 3:2 for white to blue paint and 2 litres of blue paint are used, we use the proportion calculation method to find out the amount of white paint needed.

Therefore, we set up the proportion as follows 3/2 = x/2, where x is the amount of white paint needed in litres.

Upon cross-multiplying we get 2x = 3 x 2, which simplifies to 2x = 6, and solving for x gives us x = 3.

Thus, the student would need 3 litres of white paint to mix with 2 litres of blue paint to maintain the correct 3:2 ratio for turquoise paint.