Final answer:
By setting up an equation based on the given cooking times for turkey and ham, we can solve for the weight of the ham (H) and find that the ham weighs 9 pounds and the turkey weighs 18 pounds, making option B the correct answer.
Step-by-step explanation:
Ella is cooking a turkey and a ham with different cooking times per pound. Let's denote the weight of the ham as H pounds and the weight of the turkey as 2H pounds since the turkey weighs twice as much as the ham. The cooking time for the turkey is 14 minutes per pound, and for the ham, it is 22 minutes per pound. The total cooking time is 7 hours and 30 minutes, which is 450 minutes.
We can write a mathematical equation to represent the total cooking time: (14 minutes/pound) * 2H (turkey) + (22 minutes/pound) * H (ham) = 450 minutes. When we simplify this equation, it becomes 28H + 22H = 450. Combining like terms, we get 50H = 450. Dividing both sides by 50, we find that H = 9. Therefore, the ham weighs 9 pounds, and since the turkey is twice as heavy, it weighs 18 pounds.
So, option B is correct. The turkey weighs 18 pounds, and the ham weighs 9 pounds.