All metal weights have the same weight, but by placing them in different positions on the ship, they represent different values.
What’s the math behind it??
All weights have the same weight. The movement of the weights on the board multiplies their weight by the given number, so that different values can be balanced by moving them left or right.
What is the weight of an unknown weight?
weight left x distance left = weight right x distance right
Equilibrium is a state where the product of weights and distances on each side of the balancer / measuring device is the same.
What is algebra?
If you don’t know something about a math problem, algebra will help you.
Algebra is a part of mathematics that uses letters and symbols to express unknown quantities. You calculate their value from what you know and using the rules of algebra.
Algebraic equations can be compared to scale.
Every action we perform on the one side must be done on the other.
In algebraic equations, the sides are equal like scales.
The bag and three weights are on the left bowl.
Each weight has the same weight.
Five weights are on the right bowl.
The letter x expresses the weight of the bag.
To determine the weight x, we take three weights from both sides of the scale.
Thanks to algebra, we found that x = 2
When we take three weights from both sides of the scale, the scales remain balanced, which is proof that the bag is equal to two weights.
