Jack is making barbecue sauce. He uses 3 cups of ketchup, 1 cup of vinegar and 1 cup of honey. If each burger takes 1/4 cup of sauce and each pulled pork sandwich takes 1/6 cup, how many burgers can Jack make if he makes 18 pulled pork sandwiches? Give me reasons, before answering the question
First find how much barbecue sauce Jack makes by adding the volume of each ingredient: 3 cups + 1 cup + 1 cup = 5 cups. Then multiply the number of pulled pork sandwiches by the amount of sauce per sandwich to find the total amount used: 1 / 6 cup / sandwich * 18 sandwiches = 3 cups. Then subtract this amount from the total amount of sauce Jack has to find how much he uses on the burgers: 5 cups - 3 cups = 2 cups. Then divide this amount by the amount of sauce used per burger to find the number of burgers he can make: 2 cups / 1 / 4 cup / burger = 8 burgers. So the final answer is 8.