Question

In a lilac paint mixture, 40% of the mixture is white paint, 20% is blue, and the rest is he rest is red. There are 4 cups of blue paint used in a batchof lilac paint. How many cups of white paint are used

Answer 1

Answer:

  8

Step-by-step explanation:

The ratio of white paint to blue paint in the mix is ...

  40% : 20% = 2 : 1

We can multiply this ratio by 4 cups to find ...

  white : blue = 8 cups : 4 cups

There are 8 cups of white paint in the mixture.

Answer 2

Answer: the number of cups of white paint are used is 8

Step-by-step explanation:

Let x represent the total number of cups of paint used in the mixture.

40% of the mixture is white paint, this means that the number of cups of white paint used is 0.4x

20% of the mixture is blue paint, this means that the number of cups of blue paint used is 0.2x

If the rest is red, it means that the number of red cups used is

x - (0.2x + 0.4x) = 0.4x

There are 4 cups of blue paint used in a batch of lilac paint. This means that

0.2x = 4

x = 4/0.2 = 20

Therefore, the number of cups of white paint are used is

0.4 × 20 = 8