contestada

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?

Respuesta :

botellok

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*2

8 = [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.

Athenalsun

To solve this problem, we first find the least common multiple (LCM) of 6 and 8. 6=2*3 and 8=2^3, so their LCM is 2^3*3=24. Therefore, Xanthia can buy 24÷6=4 hot dog packages and 24÷8=3 hot dog bun packages to have an equal number of hot dogs and hot dog buns. So you have an answer of 4.

Please give me brainliest, I'm trying to get to a higher rank... You don't have to tho, I respect that someone else deserves it sometimes.

Otras preguntas