Question

Ответ на задачу среди 100 учащихся-спортсменов лыжным и конькобежным спортом занимаются 9 человек,но ни кто из них не посещает гимнастики; 6 человек занимаются лыжами гимнастикой, но никто из них не катается на коньках; 19 человек занимаются только лыжами; 20 только коньками; 30 только гимнастикой; 5 человек только коньками и гимнастикой. Сколько человек занимаются лыжами, сколько коньками, сколько гимнастикой? Сколько человек занимаются всеми видами спорта?

Answer 1

9+6+19+20+30+5=89 (спортсменов занимающихся определёнными видами спорта)
100-89=11 (спортсменов занимающихся всеми видами спорта)
9+6+19=34 (спортсмена занимается лыжным спортом)
9+20+5=34 (спортсмена занимается коньками)
6+30+5=41 (спортсмен занимается гимнастикой)

Answer 2

Problem Analysis

We are given the following information: - 9 people participate in skiing and speed skating, but none of them do gymnastics. - 6 people participate in skiing and gymnastics, but none of them skate. - 19 people participate in skiing only. - 20 people participate in speed skating only. - 30 people participate in gymnastics only. - 5 people participate in both speed skating and gymnastics.

We need to determine the number of people participating in skiing, speed skating, and gymnastics, as well as the number of people participating in all three sports.

Solution

Let's break down the problem step by step.

1. Determine the number of people participating in skiing: - 9 people participate in skiing and speed skating. - 6 people participate in skiing and gymnastics, but not speed skating. - 19 people participate in skiing only. - To find the total number of people participating in skiing, we add these three groups together: 9 + 6 + 19 = 34 people participate in skiing. (Answer: 34)

2. Determine the number of people participating in speed skating: - 9 people participate in skiing and speed skating. - 20 people participate in speed skating only. - To find the total number of people participating in speed skating, we add these two groups together: 9 + 20 = 29 people participate in speed skating. (Answer: 29)

3. Determine the number of people participating in gymnastics: - 6 people participate in skiing and gymnastics, but not speed skating. - 30 people participate in gymnastics only. - 5 people participate in both speed skating and gymnastics. - To find the total number of people participating in gymnastics, we add these three groups together: 6 + 30 + 5 = 41 people participate in gymnastics. (Answer: 41)

4. Determine the number of people participating in all three sports: - We know that 5 people participate in both speed skating and gymnastics. - However, we don't have direct information about the number of people participating in all three sports. - Therefore, we cannot determine the exact number of people participating in all three sports based on the given information.

In summary: - 34 people participate in skiing. - 29 people participate in speed skating. - 41 people participate in gymnastics. - The number of people participating in all three sports cannot be determined based on the given information.

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