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Answer :
lets t be turkey and h be ham:
t=2h
5hr*60min/1hr=300min+18=318min
15t+23h= 318
15(2h)+23h=318
30h+23h=318
53h=318
h= 6
t=2(6)=12
6-pounds ham and 12 pounds of turkey
t=2h
5hr*60min/1hr=300min+18=318min
15t+23h= 318
15(2h)+23h=318
30h+23h=318
53h=318
h= 6
t=2(6)=12
6-pounds ham and 12 pounds of turkey
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Final answer:
The turkey weighs 12 pounds, and the ham weighs 6 pounds. This was determined by setting up an equation based on the given cooking times per pound, converting the total cooking time to minutes, and solving for the weight of the ham, which was then used to find the turkey's weight.
Explanation:
Calculating the Weights of Turkey and Ham
Ella is cooking a turkey and a ham for Thanksgiving. The turkey takes 15 minutes per pound to cook, while the ham takes 23 minutes per pound. Altogether, the cooking time is 5 hours and 18 minutes, which converts to 318 minutes (5 hours x 60 + 18). We are told the turkey weighs twice as much as the ham.
Let's define x as the weight of the ham in pounds. Then the turkey's weight is 2x pounds. The total cooking time for the ham is 23x minutes, and for the turkey, it is 2x multiplied by 15, which is 30x minutes. Adding both cooking times gives us the total cooking time:
23x + 30x = 318
53x = 318
x = 6
Therefore, the ham weighs 6 pounds, and the turkey weighs 12 pounds (twice the weight of the ham).
