How to Balance a See-Saw with Different Weights?

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In summary, a balancing problem is a type of mathematical puzzle or logic problem where the goal is to arrange a set of objects or variables in a way that satisfies certain conditions or constraints. Some common examples include weighing scales, logic puzzles, and scheduling problems. To solve balancing problems, one needs strong analytical skills, critical thinking, and the ability to recognize and manipulate patterns. These problems can be useful in developing problem-solving skills and can be applied in various fields. Strategies for solving balancing problems include breaking down the problem, trying different approaches, and using visual aids.
  • #1
needhelp83
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A 67-kg adult sits at one end of a 10-m board, on the other end of which sits his 23-kg child. Where should the pivot point be placed so the board (ignore its mass) is balanced?

67d=(10-d)23
67d=230-23d
90d=230
d=2.56 m

The fulcrum should be at 2.56 m

Have I set this up right
 
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  • #2
Looks okay.
 
  • #3
Looks okay to me, although you should state where your distance d is to me measured from.

Edit: Too slow again
 

What is a balancing problem?

A balancing problem is a type of mathematical puzzle or logic problem where the goal is to arrange a set of objects or variables in a way that satisfies certain conditions or constraints. The objects or variables may have different attributes or properties that need to be balanced in order to find a solution.

What are some common examples of balancing problems?

Some common examples of balancing problems include weighing scales where different weights need to be balanced, logic puzzles where different attributes or characteristics need to be balanced, and scheduling problems where time and resources need to be balanced.

What skills are needed to solve balancing problems?

Solving balancing problems requires strong analytical skills, critical thinking, and the ability to recognize and manipulate patterns. It also involves creativity and the ability to think outside the box in order to find solutions.

How can balancing problems be useful?

Balancing problems can be useful in developing problem-solving skills, improving logical reasoning, and enhancing critical thinking abilities. They can also be applied in various fields such as mathematics, computer science, economics, and engineering.

What strategies can be used to solve balancing problems?

Some strategies that can be used to solve balancing problems include breaking down the problem into smaller parts, trying different approaches, and using trial and error. It is also helpful to think logically and systematically, and to use visual aids or diagrams to better understand the problem.

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