Question

 На день рождения к васе пришло 4 друга. Первый получил 1/5 пирога,второй -1/4 остатка,третий -1/3 нового остатка. Оставшуюся часть пирога вася разделил поровну с четвертым другом. Кому досталась большая часть?

Answer 1

Ответ: 1/5 - получил 1,  1/5 - получил 2,  1/5 - получил 3,  1/5 получил 4 .

Пошаговое объяснение: Обозначим весь пирог  за единицу

1) 1/5 - получил 1.

2) (1-1/5)*1/4 =  4/5*1/4= 1/5 - получил 2.

3) (1-1/5-1/5)*1/3 = 3/5*1/3 = 1/5 - получил 3.

4) (1-3/5):2 = 2/5:2 = 1/5 -по 1/5 получил 4 друг и Васа, следовательно всем досталось поровну, по 1/5 части пирога

Answer 2

Problem Analysis

In this problem, Vasya has 4 friends who come to his birthday party. Each friend receives a portion of a pie. The first friend receives 1/5 of the pie, the second friend receives 1/4 of the remaining pie, the third friend receives 1/3 of the new remaining pie, and the remaining portion of the pie is divided equally between Vasya and the fourth friend. We need to determine who receives the larger portion of the pie.

Solution

To solve this problem, let's calculate the portions of the pie received by each friend step by step.

1. The first friend receives 1/5 of the pie. 2. The second friend receives 1/4 of the remaining pie after the first friend's portion. This can be calculated by subtracting 1/5 from 1 (the whole pie) and then multiplying by 1/4. 3. The third friend receives 1/3 of the remaining pie after the second friend's portion. This can be calculated by subtracting the second friend's portion from the remaining pie and then multiplying by 1/3. 4. The remaining portion of the pie is divided equally between Vasya and the fourth friend. This can be calculated by subtracting the third friend's portion from the remaining pie and then dividing by 2.

Let's calculate the portions step by step:

1. The first friend receives 1/5 of the pie. - Portion received by the first friend: 1/5.

2. The second friend receives 1/4 of the remaining pie after the first friend's portion. - Remaining pie after the first friend's portion: 1 - 1/5 = 4/5. - Portion received by the second friend: (4/5) * (1/4) = 1/5. - Portion received by the second friend: 1/5.

3. The third friend receives 1/3 of the remaining pie after the second friend's portion. - Remaining pie after the second friend's portion: 4/5 - 1/5 = 3/5. - Portion received by the third friend: (3/5) * (1/3) = 1/5. - Portion received by the third friend: 1/5.

4. The remaining portion of the pie is divided equally between Vasya and the fourth friend. - Remaining pie after the third friend's portion: 3/5 - 1/5 = 2/5. - Portion received by Vasya and the fourth friend: (2/5) / 2 = 1/5. - Portion received by Vasya and the fourth friend: 1/5.

From the calculations above, we can see that each friend received an equal portion of the pie, which is 1/5 of the whole pie. Therefore, no one received a larger portion than the others.

Answer

No one received a larger portion of the pie. Each friend, including Vasya and the fourth friend, received an equal portion, which is 1/5 of the whole pie.