Final answer:
To determine how much blue paint Mitch would need, we can use the ratio of white paint to blue paint, which is 5:7. By setting up a proportion and solving for x, we find that Mitch would need 2.8 quarts or 2 and 4/5 quarts of blue paint.
Step-by-step explanation:
To determine how much blue paint Mitch would need, we can use the ratio of white paint to blue paint, which is 5:7. Since Mitch has 2 quarts of white paint, we can set up a proportion to find the amount of blue paint needed.
5 quarts white paint / x quarts blue paint = 2 quarts white paint / 1 quart blue paint
Cross-multiplying, we get:
5x = 2 * 7
5x = 14
Dividing both sides by 5, we find that x = 2.8. Therefore, Mitch would need 2.8 quarts or 2 and 4/5 quarts of blue paint.