Final answer:
The ratio of hamburgers with cheese to those without cheese sold by The Best Burger Joint on Friday is 3 to 1, after simplifying the numbers 45 and 15 by dividing by 15.
Step-by-step explanation:
The Best Burger Joint sold a total of 60 sandwiches, with 45 being hamburgers with cheese and the rest being hamburgers without cheese. To find the ratio of hamburgers with cheese to those without cheese, we subtract the number of cheeseburgers from the total number of hamburgers to find how many hamburgers without cheese were sold. So, 60 total hamburgers - 45 hamburgers with cheese = 15 hamburgers without cheese.
The ratio of hamburgers with cheese to those without cheese is therefore 45 to 15, which can be simplified by dividing both numbers by the greatest common divisor, which is 15. This gives us a simplified ratio of 3 to 1.