Question

В осенних спортивных соревнованиях участвовало 80 % всех учащихся гимназии, а в зимних - 60 %. Сколько всего учащихся в гимназии, если зимой не сумели поучаствовать в соревновании на 80 школьников больше, чем осенью?​

Answer 1

Ответ: 400.

1) 80%-60%=20%

2) 20% это 80 учеников

Найдем 1 %

80:20=4 ученика это 1 %

4*100=400 учеников всего.

Answer 2

Ответ:

400..................

Answer 3

Problem Analysis

We are given the following information: - 80% of all students in the gymnasium participated in the autumn sports competition. - 60% of all students in the gymnasium participated in the winter sports competition. - In winter, 80 more students were unable to participate compared to autumn.

We need to determine the total number of students in the gymnasium.

Solution

Let's assume the total number of students in the gymnasium is x.

According to the given information: - 80% of x participated in the autumn sports competition, which means 0.8x students participated. - 60% of x participated in the winter sports competition, which means 0.6x students participated. - In winter, 80 more students were unable to participate compared to autumn, so the number of students who participated in autumn minus 80 should be equal to the number of students who participated in winter: 0.8x - 80 = 0.6x.

To solve this equation, we can simplify it as follows: 0.8x - 80 = 0.6x 0.8x - 0.6x = 80 0.2x = 80 x = 80 / 0.2 x = 400

Therefore, the total number of students in the gymnasium is 400.

Answer

The total number of students in the gymnasium is 400.