Question

В олимпиаде участвовало 54 человека.Алгебраическую задачу решило 30 человек,геометрическую задачу решило 10 человек,ту и другую решило по 5 человек.Сколько человек решило алгебраическую или геометрическую задачу?

Answer 1

Ну если по вопросу то 30 человек решили и 10 человек геометричискую

Answer 2

Problem Analysis

We are given the following information: - Total number of participants in the Olympiad: 54 - Number of participants who solved the algebraic problem: 30 - Number of participants who solved the geometric problem: 10 - Number of participants who solved both problems: 5

We need to determine the number of participants who solved either the algebraic or the geometric problem.

Solution

To solve this problem, we can use the principle of inclusion-exclusion. We start by adding the number of participants who solved the algebraic problem and the number of participants who solved the geometric problem. However, we need to subtract the number of participants who solved both problems to avoid double counting.

Let's calculate the number of participants who solved either the algebraic or the geometric problem:

Number of participants who solved either the algebraic or the geometric problem = Number of participants who solved the algebraic problem + Number of participants who solved the geometric problem - Number of participants who solved both problems

Substituting the given values:

Number of participants who solved either the algebraic or the geometric problem = 30 + 10 - 5 = 35

Therefore, 35 people solved either the algebraic or the geometric problem.

Answer

The number of people who solved either the algebraic or the geometric problem is 35.