Question

By 9pm Friday night, a restaurant had sold 200 entrées, 50 of which were steak. The restaurant makes a greater profit on steak than on any other entrée, so they want steak to represent at least 50% of their total number of entrées sold. If they sell no additional other types of entrées, what is the minimum number of steak entrées that the restaurant must sell in order to reach their goal?

Answer 1

We are told that the restaurant sold 200 entrees, 50 of which where steak.

If they want steak to represent at least 50% of their total number of entrées sold that means that steak must represent at least half of the total steaks sold.

Therefore, half of the total entrees sold would be;

`\begin{gathered} \frac{\text{Total entre}es}{2}=(200)/(2) \\ =100 \end{gathered}`

Since they have sold 50 entrees, this implies that the restaurant must sell at least an extra 50 entree to meet the goal they required.

Therefore, 50 entrees innitially sold, plus 50 entrees that would be sold would give the minimum number of steak entrées that the restaurant must sell in order to reach their goal.

This implies

`\text{minimum}=50+50=100\text{ steaks}`

They must therefore sell 100 steaks to achieve their goals.

ANSWER: 100 STEAKS