Question

Вася,Оксана и их отец с матерью собрали вместе 243 гриба. Мать собрала 84 гриба, что на 27 грибов больше, чем собрал Вася, а Оксана и отец собрали грибов поровну. Сколько грибов собрала Оксана?

Answer 1

Хотя в задаче спрашивается только про Оксану - решать надо правильно.
Четыре человека -  четыре неизвестных -  нужно четыре уравнения.
РЕШЕНИЕ
1) В + О + М + П = 243 шт - собрала вся семья.
2) М = 84 - собрала мама
3) В = М - 27 - Вася собрал на 27 шт меньше.
4) О = П - Оксана и папа собрали поровну.
Сразу вычисляем неизвестное - В(ася)
5) В = М - 27 = 84 - 27 = 57 шт - собрал Вася.
А теперь  решаем методом подстановки -  всё известное ставим в ур. 1).
6)  57 + П + 84 + П = 243
Упрощаем и находим неизвестное - П(апа)
7) 2*П = 243 - 57 - 84 = 102
7а)  П = 102 : 2 = 51 шт - собрал папа.
7б) О = П = 51 шт - собрала Оксана - ОТВЕТ
ПРОВЕРКА
57 + 51 + 84 + 51 = 243 шт - правильно

Answer 2

Problem Analysis

We are given the information that Vasya, Oksana, their father, and their mother collected a total of 243 mushrooms. The mother collected 84 mushrooms, which is 27 more than Vasya collected. Oksana and their father collected an equal number of mushrooms. We need to determine how many mushrooms Oksana collected.

Solution

Let's break down the information given: - The total number of mushrooms collected by Vasya is 27 less than the number collected by the mother. - Oksana and their father collected an equal number of mushrooms. - The total number of mushrooms collected by all four of them is 243.

Let's assign variables to the unknowns: - Let's assume the number of mushrooms collected by Vasya is x. - The number of mushrooms collected by Oksana and their father is also x.

Now we can set up the equations based on the given information: 1. The total number of mushrooms collected by Vasya and Oksana's father is 2x. 2. The total number of mushrooms collected by Vasya, Oksana's father, and Oksana's mother is 2x + 84. 3. The total number of mushrooms collected by all four of them is 2x + 84 + 84 = 243.

Let's solve this equation to find the value of x:

2x + 168 = 243 2x = 243 - 168 2x = 75 x = 75 / 2 x = 37.5

Since we can't have half a mushroom, we can conclude that Vasya collected 37 mushrooms. Since Oksana and their father collected the same number of mushrooms, Oksana also collected 37 mushrooms.

Answer

Oksana collected 37 mushrooms.