Xanthia buys hot dogs that come in packages of six, and she buys hot dog buns that come in packages of eight. What is the smallest number of hot dog packages she can buy in order to be able to buy an equal number of hot dogs and hot dog buns?

Accepted Solution

Answer:4.Step-by-step explanation:The smallest number of hot dogs packages and hot dog buns that has the same amount of is the least common multiple between 6 and 8.6 = 3*28 = [tex]2^{3}[/tex]So, the least common multiple is the product of each multiple with the biggest exponent, that is [tex]2^{3}*3=24[/tex]. Then, Xanthia has to buy 4 hot dog packages to have 24 hotdogs and 24 hotdog buns.