Dominick is in charge of ordering supplies for Harry’s Hamburger Stand. Hamburger buns come in packs of 12 and frozen hamburger patties come in packages of 20. He must have the same amount of rolls as patties. What is the least number of packages of each that he must order?
Make sure to show how you got your answer and use complete sentences in your response.
12, 24, 36, 48, 60, 72, 84, 96
Which of the above numbers is also divisible by 20?
To determine the least number of packages of hamburger buns and frozen hamburger patties that Dominick must order, we need to find the lowest common multiple (LCM) of 12 and 20.
1. Start by listing the multiples of 12 and 20:
- Multiples of 12: 12, 24, 36, 48, ...
- Multiples of 20: 20, 40, 60, 80, ...
2. Find the smallest number that appears in both lists. In this case, it is 60.
3. Therefore, the LCM of 12 and 20 is 60. This means that Dominick needs to order 60 hamburger buns and 60 frozen hamburger patties.
4. Since hamburger buns come in packs of 12, divide 60 by 12 to find the number of packages of buns:
- 60 / 12 = 5
5. Dominick should order 5 packages of hamburger buns.
6. Similarly, since frozen hamburger patties come in packages of 20, divide 60 by 20 to get the number of packages of patties:
- 60 / 20 = 3
7. Dominick should order 3 packages of frozen hamburger patties.
In summary, the least number of packages Dominick must order is 5 packages of hamburger buns and 3 packages of frozen hamburger patties in order to have the same amount of rolls as patties.