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It is recommended that a turkey be cooked for 20 minutes per pound of turkey. A turkey also needs 30 minutes to cool after it comes out of the oven. If a turkey's total cooking and cooling time is 330 minutes, how many pounds is the turkey?

Write an equation using [tex] p [/tex] for pounds. Then solve.

Answer :

To solve the problem, we need to determine how many pounds a turkey is based on its cooking and cooling time. Here's a step-by-step breakdown:

1. Understand the Problem: We know that a turkey requires 20 minutes of cooking per pound and an additional 30 minutes to cool after cooking. The total time for cooking and cooling is reported to be 330 minutes.

2. Set Up the Equation: Let [tex]\( p \)[/tex] represent the pounds of the turkey. The time for cooking is [tex]\( 20 \times p \)[/tex] minutes. The cooling time is 30 minutes, so the total time is:

[tex]\[
20p + 30 = 330
\][/tex]

3. Solve the Equation:
- First, subtract 30 from both sides to find the total cooking time:

[tex]\[
20p = 330 - 30
\][/tex]

[tex]\[
20p = 300
\][/tex]

- Next, divide both sides by 20 to solve for [tex]\( p \)[/tex]:

[tex]\[
p = \frac{300}{20}
\][/tex]

[tex]\[
p = 15
\][/tex]

4. Conclusion: The turkey weighs 15 pounds.

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