High School

A chef at a steakhouse has 118 and three-fourths pounds of sirloin steak on hand for Saturday night. If each portion is 9 and one-half ounces, how many sirloin steak dinners can be served? (There are 16 ounces in a pound.)

a) 130 dinners
b) 150 dinners
c) 155 dinners
d) 125 dinners

Answer :

Final answer:

First, we convert the total pounds of steak to ounces, then divide by the ounces per portion. The calculation shows the chef can serve 200 dinners. The correct option is not listed here.

Explanation:

The question at hand involves a mathematical calculation of dividing a total quantity of food by individual portions to determine how many servings can be made. To solve this, we must first convert all measurements to the same unit. In this scenario, since steak portions are measured in ounces, we convert the pounds of sirloin steak to ounces using a conversion factor: there are 16 ounces in a pound.

Now, multiply 118 and three fourths pounds (which is 118.75 pounds) by 16 to get the total ounces: 118.75 × 16 = 1900 ounces. Each portion size is 9 and one half ounces, or 9.5 ounces. To find out how many portions can be made, divide the total ounces of steak available by the ounces per portion: 1900 ÷ 9.5 = 200 dinners.

Therefore, the chef can serve 200 sirloin steak dinners. However, as this option is not listed in the provided choices, and assuming there were no typographical mistakes in the choices given, we might need to double-check our calculations or clarify with the original source.