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How Much Does Each Ball Weigh? The Scale Balance Math Puzzle

Balance scale puzzles are a classic staple of logic and algebraic reasoning tests. They challenge us to break down a visual equation, isolate unknown variables, and solve for the weight of a single object using basic subtraction and division.

In the puzzle image above, a balance scale is perfectly level, showing that the total weight on the left pan equals the total weight on the right pan.

Step-by-Step Breakdown

Let’s set up the equation based on what is visible on both sides of the scale:

Left Side of Scale:
- 6 blue balls + 1 weight of 4 kg
Right Side of Scale:
- 1 blue ball + 1 weight of 12 kg

1. Setting Up the Equation

Let $x$ represent the weight of a single blue ball.

6x + 4 = x + 12

2. Simplifying the Equation

Subtract 1 blue ball ( $x$ ) from both sides:

$5x + 4 = 12$
Subtract $4\text{ kg}$ from both sides:

$5x = 8$
Divide by $5$ :

$x = \frac{8}{5} = 1.6\text{ kg}$

The Final Answer

Each blue ball weighs 1.6 kg (or 1 3/5 kg)!

Why Scale Puzzles Train Your Brain

Visualizes Algebra: Replaces abstract letters ( $x, y$ ) with concrete objects, making linear equations intuitive and approachable.
Sharpens Problem-Solving: Encourages balancing and simplifying both sides of an equation step-by-step.
Fun Mental Exercise: Delivers a quick, satisfying logical workout that keeps your mind sharp.