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A restaurant runs the following food challenge: If a customer can finish a 72 -ounce steak in 60 minutes or less, then the restaurant will pay for the steak. What is the weight of the steak to the nearest tenth of a pound?
(1 pound = 16 ounces)

A restaurant runs the following food challenge: If a customer can finish a $72$ -ounce steak in $60$ minutes or less, then the restaurant will pay for the steak. What is the weight of the steak to the nearest tenth of a pound? $\newline$ ( $1$ pound $=16$ ounces)

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Weighted averages: word problems

Full solution

Q. A restaurant runs the following food challenge: If a customer can finish a

72

-ounce steak in

60

minutes or less, then the restaurant will pay for the steak. What is the weight of the steak to the nearest tenth of a pound?

\newline

(

1

pound

=16

ounces)

Identify conversion factor: Identify the conversion factor between ounces and pounds. $\newline$ $1$ pound = $16$ ounces
Convert weight to pounds: Convert the weight of the steak from ounces to pounds. $\newline$ To convert ounces to pounds, divide the number of ounces by the number of ounces in a pound. $\newline$ Weight in pounds = $\frac{\text{Weight in ounces}}{\text{Conversion factor}}$ $\newline$ Weight in pounds = $\frac{72 \text{ ounces}}{16 \text{ ounces per pound}}$
Perform division: Perform the division to find the weight in pounds. $\newline$ Weight in pounds = $\frac{72}{16}$ $\newline$ Weight in pounds = $4.5$
Round weight if necessary: Round the weight to the nearest tenth of a pound if necessary. $\newline$ The weight of the steak is already at the nearest tenth of a pound, so no rounding is needed.

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