Question

Решите задачу!!! В математическом кружке занимаются 62,5% учащихся 6 А класса, в спортивных секциях- 75%, но трое учащихся не занимаются ни в математическом кружке, ни в спортивных секциях и составляют 20% членов математического кружка. Сколько учащихся 6 А класса занимаются в спортивных секциях?

Answer 1

Никак потому что это не красивое число

Answer 2

Problem Analysis

We are given the following information: - 62.5% of the students in class 6A participate in the math circle. - 75% of the students in class 6A participate in sports sections. - Three students do not participate in either the math circle or sports sections, and they make up 20% of the math circle members.

We need to find the number of students in class 6A who participate in sports sections.

Solution

Let's assume the total number of students in class 6A is x.

From the given information, we can deduce the following equations: - 62.5% of x participate in the math circle. - 75% of x participate in sports sections. - Three students do not participate in either the math circle or sports sections, and they make up 20% of the math circle members.

Using these equations, we can set up the following system of equations:

Equation 1: 62.5% of x participate in the math circle. Equation 2: 75% of x participate in sports sections. Equation 3: Three students do not participate in either the math circle or sports sections, and they make up 20% of the math circle members.

Let's solve this system of equations to find the value of x.

Solution Steps

Step 1: Convert the percentages to decimals. - 62.5% = 0.625 - 75% = 0.75 - 20% = 0.2

Step 2: Set up the equations. - Equation 1: 0.625x = number of students in the math circle - Equation 2: 0.75x = number of students in sports sections - Equation 3: 0.2 * (number of students in the math circle) = 3

Step 3: Solve the equations. - Equation 3 can be rewritten as: 0.2 * (0.625x) = 3 - Simplifying, we get: 0.125x = 3 - Dividing both sides by 0.125, we get: x = 3 / 0.125 = 24

Therefore, there are 24 students in class 6A.

Step 4: Calculate the number of students in sports sections. - Equation 2: 0.75 * 24 = 18

Therefore, 18 students in class 6A participate in sports sections.

Answer

The number of students in class 6A who participate in sports sections is 18.