Question

Burger patties come packed 8 in a package, and burger buns come packed 12 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 burger patties do we need to buy?

Answer 1

The minimum number of burger patty packages needed to match the buns with no leftovers is three packages, determined by calculating the lowest common multiple of the number of patties and buns in each package.

Step-by-step explanation:

To find the least number of burger patty packages needed to have exactly one patty for each bun with no leftovers, we need to calculate the lowest common multiple (LCM) of the number of patties and buns in each package. Since patties come 8 to a package and buns come 12 to a package, the LCM of 8 and 12 is 24. This means we need to have 24 patties and 24 buns to ensure there are no leftovers and each bun has a patty.

Dividing the LCM by the number of patties in each package gives us the number of patty packages needed. So, 24 patties divided by 8 patties per package equals 3 packages of burger patties. Therefore, we need to buy 3 packages of burger patties to have exactly one patty for each of the 24 buns.