The student's question involved determining the amount of red paint to mix with white paint to achieve a specific shade of pink. Given a ratio of 4:3 of white to red paint, 0.75 cups of red paint should be added to 1 cup of white paint to maintain the ratio and create the same shade.
Step-by-step explanation:
The student is asking how many cups of red paint should be added to 1 cup of white paint to make the same shade of pink that is obtained by mixing red and white paint in other given proportions. To solve this, we look at the ratios provided in the table and find a consistent ratio of red to white paint that will give us the desired shade of pink.
The table gives two mixtures for the same shade of pink:
4 cups of white paint to 3 cups of red paint, which is a ratio of 4:3.
8 cups of white paint to 2 cups of red paint, which is a ratio of 8:2, or simplified to 4:1.
Looking at the ratios, there seems to be an inconsistency, as one ratio simplifies to 4:3 and the other to 4:1. This discrepancy suggests an error in the ratios as they cannot both be correct if they're meant to produce the same shade of pink. The correct approach would be to maintain the ratio consistent when scaling it down to 1 cup of white paint.
Let's assume the correct ratio is 4 cups of white paint to 3 cups of red paint (4:3), since this cannot be simplified further and is the more detailed ratio of the two provided. To find out how much red paint would need to be mixed with 1 cup of white paint, we can scale the ratio down:
4:3 (white:red) implies that for every 4 units of white, we need 3 units of red. So for 1 unit (1 cup) of white, we would need 3/4 units (cups) of red.
Therefore, 0.75 cups of red paint should be mixed with 1 cup of white paint to maintain the 4:3 ratio and achieve the same shade of pink.