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If the instructions for cooking a turkey state "Roast turkey at 325 degrees for 20 minutes per pound," how many hours will it take to roast a 20-pound turkey at this temperature?

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Apr 26, 2018

Answer:

#6 2/3# hours, or #6.66667# hours

Explanation:

It takes 20 minutes for 1 pound of turkey to be cooked at 365 degrees:

#(20/1)#, where 20 is the number of minutes a pound needs to cook and 1 is one pound.

Create a proportion to solve for x, then cross-multiply.
#(20/1)# = #(x/20)#

#(1 * x)# = #(1x)#, or #x#

#20##*##20# = #400#

#x# = #400# minutes

Now that we have the minutes, we can solve for how many hours it would take. There are 60 minutes in an hour, which can be expressed as:

#(60/1)#, where 60 represents 60 minutes and 1 represents 1 hour. Create a proportion like the earlier step.

#(60/1)# = #(400/x)#

#(60 * x)# = #60x#
#(400 * 1)# = #400#

#400# = #60x#

Divide by 60 to isolate for x:

#(400/60)# = #6 2/3# hours, or #6.66667# hours

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