Final answer:
The chef's filet weighs 45/8 pounds or 90 ounces. Each steak is 0.5 pounds (8 ounces), and the chef can make 11 such steaks from the filet with 2 ounces left over.
Step-by-step explanation:
Calculating Steak Weights and Quantities
The chef has a 5(5/8) pound beef filet, which needs to be converted into ounces to determine how many 8-ounce steaks can be made. To find out the total ounces in the filet, we use the unit equivalence where 1 pound = 16 ounces. First, we convert the mixed fraction to an improper fraction:
5(5/8) = (5 × 8 + 5) / 8 = (40 + 5) / 8 = 45/8 pounds
Multiplying the number of pounds by the unit equivalence, we get:
45/8 pounds × 16 ounces/pound = 90 ounces
a. Each 8-ounce steak is 0.5 pounds, as there are 16 ounces in a pound.
b. To calculate the number of 8-ounce steaks the chef can create, we divide 90 ounces by 8 ounces per steak:
90 ounces ÷ 8 ounces/steak = 11 steaks
c. To find out how many ounces of beef are left over, we calculate the remainder:
Total ounces - (Number of steaks × Ounces per steak) = 90 ounces - (11 × 8) = 90 ounces - 88 ounces = 2 ounces
Therefore, there will be 2 ounces of beef left over after slicing the filet into 8-ounce steaks.