Juanita wants to give bags of stickers to her friends. she wants to give the same number of stickers to each friend. she's not sure if she needs 4 bags or 6 bags of stickers. How many stickers could she buy so there are no stickers left over.
How many friends?
12
To find out how many stickers Juanita should buy so that there are no stickers left over, we can use the concept of finding the common multiple.
The common multiple of 4 and 6 is the smallest number that is divisible by both 4 and 6.
To find the common multiple, we can list the multiples of each number and find the smallest one that appears in both lists.
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, ...
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, ...
From the lists above, we can see that the smallest number that appears in both lists is 12.
Therefore, Juanita should buy 12 stickers so that there are no stickers left over.
To determine the number of stickers Juanita could buy so that there are no stickers left over, we need to find the least common multiple (LCM) of 4 and 6. The LCM is the smallest number that is divisible by both 4 and 6 without leaving a remainder.
First, let's find the prime factorization of each number:
4 = 2^2
6 = 2 * 3
To find the LCM, we take the highest power of each prime factor that appears in either number. In this case, the highest power of 2 is 2^2 and the highest power of 3 is 3^1.
Then, we multiply these numbers together:
2^2 * 3^1 = 4 * 3 = 12
Therefore, Juanita could buy 12 stickers to divide them equally among her friends without any stickers left over.