30 people and they have to be fed. if hot dog buns come 12 to a pack and hot dogs come 8 to a pack . how many packs are

needed to feed them without any left over?

3 packs of buns and 4 packs of hot dogs. give the extra to the dog? because you cant just buy fractions of packs from a store if you open food they cant sell it to you. and chance it asks to explain your answer?

The question stipulates that nothing is left over (not even for the dog).

Multiples of 12 = 24, 36, 48, 60

Which one of those numbers is divisible by 8?

To calculate the number of packs needed to feed 30 people without any leftovers, we need to find the least common multiple of 12 (hot dog buns) and 8 (hot dogs).

Step 1: Find the prime factorization of 12 and 8:
- 12: 2 * 2 * 3
- 8: 2 * 2 * 2

Step 2: Identify the common prime factors:
- 2 * 2 * 3

Step 3: Multiply the common prime factors:
- 2 * 2 * 2 * 3 = 24

Step 4: The least common multiple (LCM) of 12 and 8 is 24.

So, you will need 24 packs of hot dog buns and 24 packs of hot dogs to feed 30 people without any leftovers.

To find out how many packs of hot dog buns and hot dogs are needed to feed 30 people without any leftovers, we need to determine the least common multiple (LCM) of the quantities per pack for both hot dog buns and hot dogs.

The LCM is the smallest number that is divisible by both numbers without any remainder. In this case, the quantity per pack for hot dog buns is 12, and for hot dogs, it is 8.

To find the LCM, we can list the multiples of each number until we find the smallest common multiple:

Multiples of 12: 12, 24, 36, 48, 60, ...

Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, ...

From the above lists, we can see that the LCM of 12 and 8 is 24.

Therefore, to feed 30 people with no leftovers, we would need 24 hot dog buns and 24 hot dogs. Since there are 12 buns per pack, we would require 2 packs of hot dog buns. Similarly, since there are 8 hot dogs per pack, we would need 3 packs of hot dogs.

Thus, to feed 30 people without any leftovers, you would need 2 packs of hot dog buns and 3 packs of hot dogs.