Calculating the Cost of Apples: A Simple Math Problem Explained

One of the most common and straightforward problems in basic mathematics is calculating the cost of items. This article aims to clarify the simple math behind determining the cost of 5 apples when 2 apples cost 80 cents. We will explore different methods to arrive at the same solution, ensuring clarity and ease of understanding.

Method 1: Basic Division and Multiplication

For those with even a basic primary school education, solving this problem is quite simple. The first step is to determine the cost of a single apple:

Step 1: Divide the total cost by the number of apples to find the cost per apple. In this case:

80 ÷ 2 40

This means that one apple costs 40 cents.

Step 2: Multiply the cost per apple by the number of apples you want to purchase. In this instance:

40 × 5 200

Therefore, 5 apples will cost 200 cents, which is equivalent to 2 dollars.

Method 2: Solving a Simple Equation

An alternative approach involves solving a simple equation to find the cost per apple and then using that to calculate the total cost for 5 apples:

2/5 80/n

Here, 2 represents the number of apples, 5 the number of apples we want to find the cost of, 80 is the total cost of the 2 apples, and n is the cost of one apple. Cross-multiplying gives:

2n 400

Dividing both sides by 2:

n 200 ÷ 2 100 ÷ 1 40

This tells us that one apple costs 40 cents. Now, to find the cost of 5 apples:

40 × 5 200

Again, this confirms that 5 apples will cost 200 cents or 2 dollars.

Alternative Method: Direct Multiplication

A straightforward and direct approach is to multiply the unit price (cost per apple) by the number of apples:

Step 1: Calculate the cost of one apple:

80 ÷ 2 40

So, one apple costs 40 cents.

Step 2: Multiply the cost per apple by the number of apples:

40 × 5 200

Hence, 5 apples will cost 200 cents, which is the same as 2 dollars.

Conclusion

No matter which method you choose, the result remains the same: 5 apples will cost 200 cents or 2 dollars. This problem demonstrates the importance of basic arithmetic in everyday life and how easily we can solve such problems using simple mathematical operations. These skills are invaluable in managing personal finances, budgeting, and making everyday calculations.