Question

Маша учится в шестом классе. В этом классе мальчиков в 2 раза меньше, чем девочек. У Маши одноклассниц на 8 больше, чем одноклассников. Сколько учеников в классе?

Answer 1

Х - учеников в классе, (х+8)/2 - девочек, (х-8)/2 - мальчиков
$\frac{x+8}{2}=2\cdot\frac{x-8}{2}, \\ \frac{x+8}{2}=x-8, \\ x+8=2(x-8), \\ x+8=2x-16, \\ x=24.$

Answer 2

Problem Analysis

We are given the following information: - Masha is in the sixth grade. - In her class, there are twice as many girls as boys. - Masha has 8 more female classmates than male classmates.

We need to determine the total number of students in Masha's class.

Solution

Let's assume the number of boys in Masha's class is x. Since there are twice as many girls as boys, the number of girls in the class would be 2x.

According to the given information, Masha has 8 more female classmates than male classmates. This means that the number of girls is equal to the number of boys plus 8:

2x = x + 8

To solve this equation, we can subtract x from both sides:

2x - x = x + 8 - x

Simplifying the equation gives us:

x = 8

So, there are 8 boys in Masha's class. Since there are twice as many girls, the number of girls would be:

2 * 8 = 16

Therefore, the total number of students in Masha's class is:

8 boys + 16 girls = 24 students

So, there are 24 students in Masha's class.

Answer

There are 24 students in Masha's class.