Final answer:
When there are 8 pounds of blue goo and 3 pounds of red goo, there are 288 pounds of green goo. Using this information, we can set up a proportion to find out how many pounds of green goo will be present when there are 14 pounds of blue goo and 16 pounds of red goo. The answer is 108 pounds.
Step-by-step explanation:
To solve this problem, we need to set up a proportion using the given information. We know that when 8 pounds of blue goo and 3 pounds of red goo are present, there are 288 pounds of green goo. Let's set up the proportion: 8/3 = 288/x. Cross multiplying, we get 8x = 864. Dividing both sides by 8, we find that x = 108. Therefore, when 14 pounds of blue goo and 16 pounds of red goo are present, there will be 108 pounds of green goo.