Hey Quiz Fam! Are you ready to put your brainpower to the test? We love a good brain teaser, and today we’re diving into a classic type of challenge that really makes you think: the balance scale logic puzzle! These puzzles are fantastic for sharpening your mind and proving that sometimes, the most obvious answer isn’t always the correct one. Ready to find out the true weight of our mysterious blue balls?
The Puzzle Revealed: What’s the Weight?
Imagine this scenario: you have a perfectly balanced scale, meaning both sides hold the exact same total weight. Here’s what’s on each side:
- Left Side: Six identical blue balls AND a 20 kg weight.
- Right Side: Two identical blue balls AND a 26 kg weight.
Your mission, should you choose to accept it, is to figure out the exact weight of a single blue ball. Sounds simple, right? Let’s use our favorite problem-solving tool: algebra!
Solving with Simple Algebra
Don’t let the word ‘algebra’ scare you! It’s just a fancy way of using letters to represent unknown numbers (like the weight of our blue ball) and solving for them. Since the scale is balanced, we know the weight on the left side is equal to the weight on the right side. Let’s represent the weight of one blue ball with the letter ‘b’.
Step 1: Set Up Your Equation
Based on what’s on each side of the scale, we can write our equation:
6 balls + 20 kg = 2 balls + 26 kg
Or, using our ‘b’ for balls:
6b + 20 = 2b + 26
Step 2: Isolate the ‘b’ (Blue Balls)
Our goal is to get all the ‘b’ terms on one side of the equation and all the numbers on the other. Let’s start by subtracting 2b from both sides:
6b – 2b + 20 = 2b – 2b + 26
4b + 20 = 26
Step 3: Isolate the ‘b’ Further
Now, let’s get the 20 kg to the other side by subtracting 20 from both sides:
4b + 20 – 20 = 26 – 20
4b = 6
Step 4: Find the Weight of One Ball
We now know that 4 blue balls weigh 6 kg. To find the weight of one ball, we simply divide 6 by 4:
b = 6 / 4
b = 1.5 kg
So, each blue ball weighs exactly 1.5 kg!
