Question

Петя, Ваня и Миша собирали грибы. Петя собрал 7/15 всех грибов, Ваня 6/11 остальных грибов, а миша 45 грибов. Сколько всего грибов собрали мальчики?

Answer 1

Ответ:

180 грибов

Пошаговое объяснение:

1) Узнаем, какую часть составляют оставшиеся грибы: 1 – 7/15 = 8/15;

2) Найдем, какую часть составляют грибы, которые собрал Ваня: 8/15 · 5/12 = 2/9;

3) Вычислим, какую часть составляют грибы, которые нашел Миша: 8/15 – 2/9 = 14/45;

4) Зная, что Миша собрал 56 грибов, а это составляет 14/45 всех найденных мальчиками грибов, найдем сколько всего грибов собрали мальчики: 56 : 14/45 = 56 · 45 : 14 = 180 (гр.).

Ответ: три мальчика собрали 180 грибов.

Answer 2

Calculation of the Total Number of Mushrooms Collected

To calculate the total number of mushrooms collected by the boys, we need to add up the number of mushrooms each of them collected.

According to the information provided: - Petya collected 7/15 of all the mushrooms. - Vanya collected 6/11 of the remaining mushrooms. - Misha collected 45 mushrooms.

To find the total number of mushrooms collected, we can follow these steps:

1. Calculate the number of mushrooms collected by Petya: - Petya collected 7/15 of all the mushrooms. - Let's assume the total number of mushrooms is represented by x. - Therefore, Petya collected (7/15) * x mushrooms.

2. Calculate the number of mushrooms collected by Vanya: - Vanya collected 6/11 of the remaining mushrooms. - The remaining mushrooms after Petya collected are (1 - 7/15) * x. - Therefore, Vanya collected (6/11) * (1 - 7/15) * x mushrooms.

3. Add up the number of mushrooms collected by Petya, Vanya, and Misha: - The total number of mushrooms collected is the sum of the mushrooms collected by Petya, Vanya, and Misha. - Therefore, the total number of mushrooms collected is [(7/15) * x] + [(6/11) * (1 - 7/15) * x] + 45.

Let's calculate the total number of mushrooms collected using the given information:

1. Calculate the number of mushrooms collected by Petya: - Petya collected 7/15 of all the mushrooms. - Let's assume the total number of mushrooms is represented by x. - Therefore, Petya collected (7/15) * x mushrooms.

2. Calculate the number of mushrooms collected by Vanya: - Vanya collected 6/11 of the remaining mushrooms. - The remaining mushrooms after Petya collected are (1 - 7/15) * x. - Therefore, Vanya collected (6/11) * (1 - 7/15) * x mushrooms.

3. Add up the number of mushrooms collected by Petya, Vanya, and Misha: - The total number of mushrooms collected is the sum of the mushrooms collected by Petya, Vanya, and Misha. - Therefore, the total number of mushrooms collected is [(7/15) * x] + [(6/11) * (1 - 7/15) * x] + 45.

Now, let's calculate the total number of mushrooms collected.