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To roast a chicken, it should be cooked in the oven at 325 degrees Fahrenheit for 20 minutes per pound plus an additional 20 minutes.
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If a chicken takes one and a half hours to roast at 325 degrees Fahrenheit, write an equation that you could use to find 𝑤, the weight of the chicken.
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One and a half hours is equal to 60 minutes plus 30 minutes, as there are 60 minutes in one hour.
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This means that the total cooking time was 90 minutes.
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We were told in the question to let 𝑤 be the weight of the chicken.
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It takes 20 minutes to cook per pound.
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This is equal to 20𝑤.
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The chicken also needs to be cooked for an additional 20 minutes.
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Therefore, an expression for the total cooking time is 20𝑤 plus 20.
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This particular chicken took 90 minutes to cook.
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Therefore, the equation is 20𝑤 plus 20 is equal to 90.
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We could then use this equation to work out the weight of the chicken.
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Subtracting 20 from both sides of the equation gives us 20𝑤 is equal to 70.
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Dividing both sides of this equation by 20 gives us 𝑤 is equal to 70 divided by 20.
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We can simplify this fraction by dividing the numerator and denominator by 10.
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This leaves us 𝑤 is equal to seven divided by two.
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Seven divided by two is equal to 3.5.
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Therefore, the weight of the chicken is 3.5 pounds.