Question

Ella is cooking a turkey and a ham for Thanksgiving. 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 6 hours and 32 minutes. If the turkey weighs twice as much as the ham, how much do the turkey and the ham weigh?

Answer 1

B. THE TURKEY WEIGHS 18 POUNDS, AND THE HAM WEIGHS 9 POUNDS.

Explanation:

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Answer 2

Let the weight of turkey be = x

Let the weight of ham be = y

The turkey weighs twice as much as the ham , which is x=2y

Total time given is = 6 hours 32 minutes

Converting it in minutes
`(6*60)+32=392`

Equation becomes
`14x+21y=392`

Putting x=2y

`14(2y)+21y=392`

`49y=392`

`y=8`

As x=2y

So,
`x=2*8=16`

Hence, the weight of turkey is 16 pounds and weight of ham is 8 pounds.