Calculating Egg Costs: From 6 Dozen to 132 Individual Eggs

When faced with a problem that involves calculating the cost of eggs, particularly when the initial data is given in dozens, it’s important to break down the problem into manageable steps. In this article, we will explore how to find the cost of 132 individual eggs, given that 6 dozen eggs cost 253 credits.

Understanding the Problem

To find the cost of 132 individual eggs, we first need to understand the relationship between dozens and individual eggs. We know that 6 dozen eggs cost a total of 253 credits. The first step is to determine the cost per dozen, followed by the cost per individual egg.

Step 1: Calculating Cost Per Dozen

Starting with the given information:

6 dozen eggs 253 credits

To calculate the cost per dozen:

72 eggs (6 dozen) 253 credits

Cost per dozen 253 / 6 42.17 credits (rounded to two decimal places)

Step 2: Calculating Cost Per Individual Egg

Since one dozen equals 12 eggs, we can find the cost per individual egg by dividing the cost per dozen by 12:

Cost per egg 42.17 / 12 3.51 credits (rounded to two decimal places)

Step 3: Calculating Total Cost for 132 Eggs

Now that we have the cost per individual egg, we can multiply this value by 132 to find the total cost:

Total cost for 132 eggs 132 * 3.51 463.32 credits (rounded to two decimal places)

Thus, the cost of 132 individual eggs is approximately 463.32 credits.

Conclusion

In summary, when faced with a similar problem, follow these steps to ensure accurate calculations:

Determine the total number of individual eggs from the given dozens. Calculate the cost per dozen by dividing the total cost by the number of dozens. Compute the cost per individual egg by dividing the cost per dozen by 12. Multiply the cost per individual egg by the total number of eggs needed.

Understanding these steps can help in solving various problems related to bulk pricing and individual item costs.