Answer:
If 20% of the lilac paint mixture is blue, then 80% of the mixture is not blue (100% - 20% = 80%). We can represent the amount of red paint in the mixture as a fraction of the total mixture as follows:red paint in mixture = (100% - 40% - 20%) / 100% = 40% / 100% = 0.4This means that 40% of the lilac paint mixture is red paint.If 4 cups of blue paint are used, we can find the total amount of lilac paint mixture used as follows:total lilac paint mixture = 4 cups / 20% = 20 cupsNow we can find the amount of red paint used in the mixture as follows:red paint used = 0.4 x 20 cups = 8 cupsTherefore, 8 cups of red paint is used in the batch of lilac paint.