Introduction:
In this article, we will explore a practical example of determining the total cost of a certain quantity of apples, given the cost of a smaller number of apples. This process involves understanding cost per unit, performing basic arithmetic calculations, and applying mathematical principles to real-world scenarios. Whether you are a student looking to improve your arithmetic skills or an individual seeking to manage household finances, this guide will help you tackle similar problems with ease.
Understanding the Cost per Apple
The cost of 3 apples is given as 54 cents. To find the cost per apple, we need to divide the total cost by the number of apples.
Given: 3 apples 54 cents
Calculation for cost per apple:
Cost per apple (frac{54 text{ cents}}{3} 18 text{ cents per apple})
Converting Dozens to Apples
A dozen apples is equivalent to 12 apples. Therefore, we need to convert 2 and 3/4 dozen apples into the total number of individual apples.
Given: 2 dozen 24 apples
Given: 3/4 dozen 0.75 dozen
Calculation for 2 and 3/4 dozen apples:
2.75 dozen 2.75 (times) 12 33 apples
Calculating the Total Cost
With the cost per apple and the total number of apples, we can now calculate the total cost for 33 apples.
Total cost for 33 apples:
Total cost 33 apples (times) 18 cents per apple 594 cents
In dollars: 594 cents $5.94
Conclusion
In conclusion, the cost of 2 and 3/4 dozen apples, given that 3 apples cost 54 cents, is $5.94. This problem demonstrates the importance of understanding units, performing conversions, and applying basic arithmetic to real-world scenarios. These skills are not only useful in academic settings but also in everyday life, particularly when managing finances and calculating costs.
Additional Tips:
Unit Conversion: Always ensure you are working with the correct units. Here, we converted dozens to individual apples to make the problem easier. Step-by-Step Approach: Break down the problem into smaller steps to make it easier to manage and avoid errors. Arithmetic Accuracy: Double-check your calculations to ensure accuracy.By practicing these techniques and concepts, you can improve your mathematical skills and confidently solve similar problems in the future.