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:
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Left Side of Scale:
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6 blue balls + 1 weight of 4 kg
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Right Side of Scale:
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1 blue ball + 1 weight of 12 kg
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1. Setting Up the Equation
Let $x$ represent the weight of a single blue ball.
2. Simplifying the Equation
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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
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Visualizes Algebra: Replaces abstract letters ($x, y$) with concrete objects, making linear equations intuitive and approachable.
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Sharpens Problem-Solving: Encourages balancing and simplifying both sides of an equation step-by-step.
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Fun Mental Exercise: Delivers a quick, satisfying logical workout that keeps your mind sharp.
