How Many Egg Trays Does a Shopkeeper Need to Store 204 Eggs?
A shopkeeper has 204 eggs that he needs to store. Each egg tray can hold 12 eggs. This article will walk through the calculations needed to determine how many egg trays the shopkeeper needs.
Calculating the Number of Egg Trays Needed
To find out how many egg trays are needed, we can use a simple mathematical division. The total number of eggs is 204, and each tray can hold 12 eggs.
The formula for the number of trays required is:
Number of trays Total eggs ÷ Eggs per tray
Substituting the given values:
Number of trays 204 ÷ 12 17
This calculation shows that the shopkeeper needs 17 trays to store all 204 eggs.
Understanding the Remainder
During division, there can be a remainder if the total number of eggs is not evenly divisible by the number of eggs each tray can hold. In this case:
Remainder 204 mod 12 0
This indicates that there are no leftover eggs after filling 17 trays with 12 eggs each. This means that exactly 17 trays are sufficient to accommodate all the eggs and there is no need for any additional trays.
Conclusion
Based on the given information, the shopkeeper needs 17 trays to store 204 eggs. Since each tray can hold 12 eggs, multiplying the number of trays by the number of eggs per tray confirms our calculation:
17 trays × 12 eggs per tray 204 eggs
There is no need for any additional trays since all 204 eggs are perfectly divisible by 12, and 17 trays are sufficient to store all the eggs.
If the shopkeeper already has a certain number of trays, he needs to ensure that he has at least 17 trays on hand. If he has more, he will have enough. If he has fewer, he will need to acquire additional trays to meet the requirement of 17 trays.