In a room of 100 people…

Mathematics Questions

In a room of 100 people, where 99% are left-handed, how many left-handed people must leave to reduce that percentage to 98%?

Short Answer

The answer outlines a problem-solving process divided into three steps: understanding the problem by identifying key questions and provided information, gathering the necessary data and resources, and finally solving the problem while ensuring accuracy and relevance of the solution.

Step-by-Step Solution

Step 1: Understand the Problem

First, identify what is being asked in the problem. Break it down to clarify the objective. You need to ask yourself:

  • What is the specific question?
  • What information has been provided?
  • Are there any calculations that need to be performed?

Step 2: Gather Necessary Information

Compile all the data and resources you need to solve the problem. This may include formulas, definitions, or any relevant materials. Consider the following:

  • What formulas are applicable in this scenario?
  • What data do I already have?
  • Are there any assumptions I need to make?

Step 3: Solve and Conclude

Using the information and understanding from the previous steps, execute the solution methodically. Make sure to check your work and confirm that:

  • The calculations are accurate.
  • All elements of the problem have been addressed.
  • The answer is sensible in the context of the question.

Related Concepts

Problem analysis

The process of breaking down a question to identify the specific information required and any calculations needed to address it

Data collection

The act of gathering all relevant information, resources, and assumptions necessary to solve a problem effectively

Solution execution

A systematic approach to applying the gathered information and understanding to compute the answer and verify its accuracy

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