Question

Груш в саду в четыре раза меньше чем вишен дети решили посчитать Посчитать все деревья в саду у Андрея получилось 55 деревьев У Юры 58 А у Игоря 54 известно что один из них посчитал верно Сколько деревьев в саду Запиши решение и ответ

Answer 1

Пусть груш х, тогда вишен 4х.
4х+х= 5х деревьев всего в саду.
Чтобы решить уравнение нужно взять число кратное 5, в нашем случае это 55.
Следовательно, составим уравнение:
4х+х=55
5х=55
х=55:5
х= 11 груш
11*4=44 вишни

Answer 2

Problem Analysis

The problem states that there are four times fewer pear trees in the garden than cherry trees. The children counted the total number of trees in the garden and obtained the following results: 55 trees for Andrei, 58 trees for Yuri, and 54 trees for Igor. It is known that one of them counted correctly. We need to determine the total number of trees in the garden.

Solution

Let's assume that the number of cherry trees in the garden is x. According to the problem, there are four times fewer pear trees than cherry trees, so the number of pear trees would be x/4.

We can set up the following equations based on the information given:

- Andrei counted 55 trees: x + x/4 = 55 - Yuri counted 58 trees: x + x/4 = 58 - Igor counted 54 trees: x + x/4 = 54

To solve this system of equations, we can multiply each equation by 4 to eliminate the fractions:

- Andrei's equation: 4x + x = 220 - Yuri's equation: 4x + x = 232 - Igor's equation: 4x + x = 216

Now, we can simplify each equation:

- Andrei's equation: 5x = 220 - Yuri's equation: 5x = 232 - Igor's equation: 5x = 216

By dividing both sides of each equation by 5, we can solve for x:

- Andrei's equation: x = 44 - Yuri's equation: x = 46.4 - Igor's equation: x = 43.2

Since the number of trees must be a whole number, we can conclude that Andrei counted correctly, and there are 44 cherry trees in the garden. Therefore, the total number of trees in the garden is 44 + 44/4 = 55.

Answer

The total number of trees in the garden is 55.

Solution Verification

Let's verify the solution by substituting the values back into the original equations:

- Andrei's equation: 44 + 44/4 = 55 - Yuri's equation: 44 + 44/4 = 58 - Igor's equation: 44 + 44/4 = 54

All the equations hold true, confirming that the solution is correct.