Solving for the Average Weight of a Brick: A Simple Mathematical Problem

Mathematical puzzles and problems are popular for their elegance and logical challenges. In this article, we will explore a simple yet intriguing problem: determining the average weight of a brick given that 2 bricks weigh a total of 3 kilos plus the half weight of one brick. We will break down the problem step by step and provide a clear, mathematical explanation.

Setting Up the Equation

Let's denote the weight of one brick as ( x ) kilos. According to the problem, the weight of 2 bricks is equal to 3 kilos plus half the weight of one brick. We can express this mathematically as follows:

[ 2x 3 frac{1}{2}x]

Solving the Equation Step By Step

Let's solve this equation step by step.

Multiply both sides by 2 to eliminate the fraction: [ 2(2x) 2(3 frac{1}{2}x) ] Which simplifies to: [ 4x 6 x ] Subtract ( x ) from both sides: [ 4x - x 6 ] This simplifies to: [ 3x 6 ] Divide both sides by 3: [ x 2 ]

Thus, the average weight of one brick is 2 kilos.

Further Explanation and Clarification

Some might argue over the use of terms like 'weight' and 'kilograms' in the same context. It's important to note that throughout history, people have used measurements based on a system of weight to determine the mass of objects. The term 'weight' in everyday language refers to the mass of an object in a gravitational field.

Historically, people have been 'weighing' things for at least a thousand years. The use of the term 'kilograms' did not become common until a significant fraction of that time. Despite this, the general populace often uses 'weight' and 'mass' interchangeably. It works for practical purposes like buying groceries or working with materials.

Current Legislation and Regulations

Many current government acts and items of legislation around the world use the word 'weigh' and instruct the use of kilograms or pounds as units. For example, in the UK, it is perfectly acceptable to say someone 'weighs' 70 kilograms, and it is also legally correct to use the term 'mass' if that is the preferred term for a specific context.

So, while it might be pedantic to differentiate strictly, for the purposes of solving this problem and for the average person, the terms 'weight' and 'kilograms' are functionally equivalent.

Conclusion

In conclusion, the average weight of one brick, given the conditions provided, is 2 kilos. This simple mathematical problem demonstrates the importance of setting up the right equation and solving it step by step.