First find how much barbecue sauce Jack makes by adding the volume of each ingredient: 3 cups + 1 cup + 1 cup = <<3+1+1=5>>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 = <<1/6*18=3>>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 = <<5-3=2>>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

# Answer

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<|im_start|>user
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?
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<|im_start|>assistant

user
8
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?
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