Dominick is in charge of ordering supplies for Harrys hamburger stand. Hamburger buns come in a pack of 12 and frozen hamburger patties come in packs of 20. He must have the same amount of hamburger and buns. What is the least number of packages that he must order?
he needs 3 patties and 5 buns
least common multiple
12 = 2*2*3
20 = 2*2*5
multiply first by 5 = 60
multiply second by 3 = 60
so yes 5 packs and 3 packs
thanks soooo much your a life saver!!
To find the least number of packages Dominick must order, we need to determine the least common multiple (LCM) of 12 and 20. The LCM is the smallest number that both 12 and 20 divide evenly into.
To find the LCM, we can list the multiples of 12 and 20 until we find a common multiple. Let's do that:
Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120...
Multiples of 20: 20, 40, 60, 80, 100, 120...
From the list, we see that the least common multiple of 12 and 20 is 60. Therefore, Dominick must order enough packages to have a total of 60 hamburger buns and 60 hamburger patties.
Since each pack of hamburger buns contains 12 buns and each pack of hamburger patties contains 20 patties, we can calculate the number of packages needed by dividing 60 by the number of buns or patties in each pack.
Number of bun packs: 60 buns ÷ 12 buns/pack = 5 packs
Number of patty packs: 60 patties ÷ 20 patties/pack = 3 packs
Dominick should order at least 5 packs of hamburger buns and 3 packs of frozen hamburger patties to have the same amount of hamburger and buns. Therefore, the least number of packages he must order is 5.