Burger patties come packed 6 in a package, and burger buns come packed 8 in a package. We want to buy the least number of patties and buns possible, while still making sure that we have exactly one patty for each bun (no leftovers). How many packages of buns do we need to buy?
Answers
You would need to buy at least 3 packages of buns to match the 4 packages of patties.
How many packages of buns do we need to buy?
To solve this problem, we need to find the least common multiple (LCM) of the number of patties and the number of buns per package. This LCM will ensure that we have an equal number of patties and buns without any leftovers.
Given that there are 6 patties per package and 8 buns per package, we can find the LCM of 6 and 8.
The prime factorization of 6 is 2 x 3, and the prime factorization of 8 is 2 x 2 x 2. To find the LCM, we take the highest power of each prime factor that appears in either number: 2³ x 3 = 24.
So, we need 24 patties and 24 buns to have an equal number of both without any leftovers. Since each package contains 6 patties and each package contains 8 buns, we can divide the total number of patties and buns needed by the number in each package: 24 / 6 = 4 packages of patties and 24 / 8 = 3 packages of buns.
Therefore, you would need to buy at least 3 packages of buns to match the 4 packages of patties and ensure that you have exactly one patty for each bun.
Read more about buns here: brainly.com/question/148081
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