Question

You mix 13 cups of red paint for every 12 cups of blue paint to make 7 cups of purple paint. How many cups of red paint and blue paint are needed?

A. 4 cups of red paint, 4 cups of blue paint
B. 5 cups of red paint, 5 cups of blue paint
C. 6 cups of red paint, 6 cups of blue paint
D. 7 cups of red paint, 7 cups of blue paint

Answer 1

To make 7 cups of purple paint, approximately 6.46 cups of blue paint and 7 cups of red paint are needed.

Step-by-step explanation:

To find how many cups of red paint and blue paint are needed to make 7 cups of purple paint, we need to set up a proportion. The proportion can be set up as:

13 cups of red paint / 12 cups of blue paint = 7 cups of purple paint / x cups of blue paint

Cross-multiplying and solving for x, we get:

13x = 7 * 12

13x = 84

x = 84 / 13

x ≈ 6.46

So, approximately 6.46 cups of blue paint are needed. Since we can't use a fraction of a cup, we round up to the nearest whole number, which is 7 cups.

Therefore, the correct answer is Option D. 7 cups of red paint, 7 cups of blue paint.