Question

Спортсменов построили в колонну по 6 человек в ряду, а затем перестроили поставив в каждый ряд по 4 человека. Сколько всего спортсменов если их больше 85, но меньше 100? С решением и условием плииииииииз)

Answer 1

В заданном промежутке соответствует делению на 4 и 6, это число 96. Ответ 96

Answer 2

Problem Analysis

We are given that a group of athletes is initially arranged in columns of 6 people each. Then they are rearranged so that there are 4 people in each row. We need to determine the total number of athletes if there are more than 85 but less than 100.

Solution

Let's assume the total number of athletes is x.

Initially, the athletes are arranged in columns of 6 people each. This means that the number of columns is equal to the total number of athletes divided by 6: x/6.

After rearranging, there are 4 people in each row. This means that the number of rows is equal to the total number of athletes divided by 4: x/4.

We can set up the following equation based on the given information:

(x/6) * (x/4) = x

Simplifying the equation:

(x^2) / 24 = x

Multiplying both sides of the equation by 24 to eliminate the denominator:

x^2 = 24x

Rearranging the equation:

x^2 - 24x = 0

Factoring out an x:

x(x - 24) = 0

This equation has two solutions: x = 0 and x = 24. Since the number of athletes cannot be zero, the total number of athletes is 24.

Therefore, there are a total of 24 athletes.

Answer

There are a total of 24 athletes.

Explanation

The initial arrangement of athletes in columns of 6 people each and the subsequent rearrangement with 4 people in each row can be represented as a mathematical equation. By solving this equation, we find that the total number of athletes is 24.