Question

Ella is cooking a turkey and a ham. It takes 14 minutes per pound to cook a turkey and 21 minutes per pound to cook a ham. Ella is able to cook the turkey and the ham in 5 hours and 43 minutes. If the turkey weighs twice as much as the ham, how much do the turkey and the ham weigh? A. The turkey weighs 7 pounds, and the ham weighs 14 pounds. B. The turkey weighs 7 pounds, and the ham weighs 7 pounds. C. The turkey weighs 14 pounds, and the ham weighs 7 pounds. D. The turkey weighs 28 pounds, and the ham weighs 14 pounds.

Answer 1

Let's start by setting up two equations based on the given information. Let T be the weight of the turkey in pounds, and H be the weight of the ham in pounds. Then we have:

- Turkey cooking time = 14T minutes
- Ham cooking time = 21H minutes
- Total cooking time = 5*60 + 43 = 343 minutes

Since Ella is cooking both the turkey and the ham, we can set up an equation based on the total cooking time:

- 14T + 21H = 343

We also know that the turkey weighs twice as much as the ham, so T = 2H. Substituting this into the first equation, we get:

- 14(2H) + 21H = 343
- 49H = 343
- H = 7

So the ham weighs 7 pounds. Using T = 2H, we get:

- T = 2(7) = 14

So the turkey weighs 14 pounds. Therefore, the answer is (C) The turkey weighs 14 pounds, and the ham weighs 7 pounds.