Final answer:
Jane had to pay for 250 sandwiches.
Step-by-step explanation:
To find out how many sandwiches Jane had to pay for, we first need to determine the number of sets of five sandwiches that Jane purchased. We divide the total number of sandwiches Jane ordered (619) by 5: 619 ÷ 5 = 123.8 sets of five sandwiches. Since Jane can't have a fraction of a set, we round down to the nearest whole number. Therefore, Jane purchased 123 sets of five sandwiches.
Since each set of five sandwiches entitles Jane to three free sandwiches, we multiply the number of sets of five sandwiches (123) by 3: 123 × 3 = 369 free sandwiches.
To find out how many sandwiches Jane had to pay for, we subtract the number of free sandwiches (369) from the total number of sandwiches she ordered (619): 619 - 369 = 250 sandwiches. Therefore, Jane had to pay for 250 sandwiches.