Final answer:
To make 25 cups of her favorite purple paint, Jessica needs approximately 17 cups of blue paint and approximately 17 cups of red paint.
Step-by-step explanation:
To find out how many cups of blue and red paint Jessica needs to make 25 cups of her favorite purple paint, we can use a proportion. We know that it takes 4 cups of blue paint and 6 cups of red paint to make her favorite shade of purple paint. So, we can set up the proportion:
4 cups / 6 cups = x cups / 25 cups
Cross-multiplying, we get:
6x = 4 * 25
Simplifying, we have:
6x = 100
Dividing both sides by 6, we find that:
x = 16.67
Rounding up, Jessica needs approximately 17 cups of blue paint and approximately 17 cups of red paint to make 25 cups of her favorite purple paint.