there are fewer than 6 dozen eggs in a basket. if i cout them by 2s, there is obne left over. if i count by 3s, there are 2 left over. three are left if i count them by 4s. four are left if i count by 5s. how many eggs are there
Six dozen = 72 eggs
From counting by 2s, you know that it is an odd number, since one is left over. The last sentence indicates that you need an odd number of 5s to have an odd number with 4 left over (5, 15, 25, 35, 45, 55, 65) to give 9, 19, 29, 39, 49, 59 or 69 eggs.
Which of these fit the other requirements?
I hope this helps.
i really don't know, but i have a question, are u in the fifth grade??!!! i have this prblem too. and people, posting answers with HINTS does not help. i need this tomorow, and psudag, i wouldnt be helpes by ur answer!!
not helping
To find the number of eggs in the basket, we can use the method of finding the least common multiple (LCM) of the given numbers, which in this case are 2, 3, 4, and 5. This will give us the number of eggs we are looking for. Here's how to get the answer step-by-step:
1. Start by listing the multiples of each given number:
- For 2: 2, 4, 6, 8, 10, ...
- For 3: 3, 6, 9, 12, ...
- For 4: 4, 8, 12, ...
- For 5: 5, 10, 15, 20, ...
2. Identify the least common multiple (LCM) of the given numbers by finding the smallest number that appears in all the lists. In this case, the LCM is 60 since it is the smallest number that appears in all the lists.
3. Since the basket has fewer than 6 dozen eggs, we know that the number we are looking for is less than 6 dozen, which is 6 x 12 = 72 eggs.
4. Now, count backwards from 60 by multiples of 60 until we reach a number that is less than 72 (since the number of eggs can't be more than 72). Keep in mind that counting backwards helps us find the number of eggs, as stated in the problem.
- 60 - 60 = 0 (Too few eggs)
- 120 - 60 = 60 (Too few eggs)
- 180 - 60 = 120 (Too few eggs)
- 240 - 60 = 180 (Too few eggs)
5. We have found that subtracting 60 from 240 results in the number 180, which is less than 72 eggs. Therefore, there are 180 eggs in the basket.
So, after following these steps, we find that there are 180 eggs in the basket.