Word Problem Wednesday: The Hot Dog Conundrum

By Damaris | Added Jul 6, 2016

Happy Word Problem Wednesday! This week, a backyard barbecue staple is in the spotlight. Solve our hot dog word problem and check back tomorrow for the solution!

Hot dogs come in packages of 10. Hot dog buns come in packages of 8. Each bottle of ketchup has enough ketchup in it for 24 hot dogs. What is the least number of packages of hot dogs, packages of hot dog buns, and bottles of ketchup you can buy so that you have the same number of servings of each?

Update: Here's the solution!

The least common multiple of 10, 8, and 24 is 120. The least number of packages of each you can buy so that you have the same number of servings of hot dogs, buns, and ketchup need to contain a total of 120 servings. 12 packages of 10 makes 120 hot dogs, 15 packages of 8 makes 120 buns, and 5 bottles of 24 servings makes 120 squirts of ketchup.