Hamburger Heaven is having a lunch special where customers buy one 3/4-pound cheeseburger and get one free. If they set aside 42 2/3 pounds of meat, how many 3/4-pound cheeseburgers can they make?
First, we need to find out how many 3/4-pound cheeseburgers can be made from 42 2/3 pounds of meat.
To do this, we need to convert 42 2/3 pounds to an improper fraction:
42 2/3 = (42 x 3 + 2) / 3 = 128/3
Next, we need to divide the total amount of meat by the amount of meat in each cheeseburger:
128/3 รท 3/4 = 128/3 x 4/3 = 512/9
So, they can make 512/9 or approximately 56.89 3/4-pound cheeseburgers. However, since they can only sell whole cheeseburgers, they can make a maximum of 56 cheeseburgers.