Final answer:
By converting 93 and 1/3 lb to 93.333 lb and dividing by the weight of each 3/4 lb cheeseburger, we find that Hamburger Heaven can make 62 sets of 'buy one, get one free' 3/4 lb cheeseburgers, yielding a total of 124 cheeseburgers.
Step-by-step explanation:
The question posed is concerned with determining how many 3/4 lb cheeseburgers can be made from a total of 93 and 1/3 lb of meat. To solve this, we should convert the pounds of meat to a consistent unit and then divide by the weight of one cheeseburger. First, we convert 93 and 1/3 lb to 93.333 lb by changing the fraction to decimal form. Then, we divide by 3/4 lb per cheeseburger:
93.333 lb ÷ (3/4) lb = 93.333 lb ÷ 0.75 lb = 124.444 cheeseburgers.
Since we cannot make a fraction of a cheeseburger, we round down to the nearest whole number:
124 cheeseburgers.
But since the special is buy one get one free, this number must be divided by two to find out how many purchases are made:
124 cheeseburgers ÷ 2 = 62 cheeseburger purchases. Therefore, Hamburger Heaven can make 62 sets of buy one, get one free cheeseburgers with 93 and 1/3 lb of meat, which yields a total of 124 cheeseburgers.