there are b/n 50and60 number of eggs in a basket when losa counts by 3's there are 2 eggs left now.where she counts by 5's there are 4 left over, how many eggs are in the basket?
"counts by 3's there are 2 eggs left now"
---> possible numbers: 5 8 11 13 ... 41 44 47 50 53 56 59 62 ...
"counts by 5's there are 4 left over"
---> possible numbers: 9 14 19 ... 49 54 59 64 ....
Mmmmhhhh?
what is the answer of this question?
t4s3#?:E
59
MESEFN
good answer
To solve this problem, let's break it down step by step.
1. Start with the given information:
- The number of eggs in the basket is between 50 and 60.
- When Losa counts by 3's, there are 2 eggs left over.
- When Losa counts by 5's, there are 4 eggs left over.
2. Let's analyze the information about counting by 3's. If there are 2 eggs left when counting by 3's, it means that the total number of eggs minus 2 should be divisible by 3.
3. Similarly, let's consider the information about counting by 5's. If there are 4 eggs left when counting by 5's, it means that the total number of eggs minus 4 should be divisible by 5.
4. Now let's find the common solution of these two conditions:
- The total number of eggs minus 2 should be divisible by 3.
- The total number of eggs minus 4 should be divisible by 5.
To find the common solution, we can analyze the multiples of 3 and 5:
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, ... (add 3 to each previous number)
Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, ... (add 5 to each previous number)
5. By looking at these two sequences, we can see that the first common number is 15, which is divisible by both 3 and 5. However, 15 is not within the range of 50 to 60.
6. Let's find the next common number:
- Adding 15 to each multiple of 3 gives us: 15, 18, 21, 24, ...
- Adding 15 to each multiple of 5 gives us: 20, 25, 30, 35, ...
7. The next common number is 30, which is divisible by both 3 and 5 and falls within the range of 50 to 60. Therefore, there are 30 eggs in the basket.
Answer: There are 30 eggs in the basket.