Question

решите задачу рациональным способом.Три мальчика разделили между собой собранные в саду яблоки.Первый мальчик взял 25% всех яблок и еще 5 яблок, второй мальчик 60% остатка и еще 2 яблока,третий мальчик-остальные 20 яблок. сколько всего яблок собрали мальчики в саду?

Answer 1

Пусть х - всего яблок собрали, тогда первый мальчик взял = 0,25х+5

Остаток яблок = х-0,25х-5=0,75х-5, тогда второй взял = 0,6(0,75х-5)+2

Составим уравнение 0,25х+5+0,6(0,75х-5)+2+20=х

Решив уравнение получаем х=80 кг всего собрали яблок, из них  первый взял 25 шт, второй - 35 шт.

Answer 2

Problem Analysis

We are given that three boys divided the apples collected in the garden among themselves. The first boy took 25% of all the apples and an additional 5 apples. The second boy took 60% of the remaining apples and an additional 2 apples. The third boy took the remaining 20 apples. We need to find the total number of apples collected by the boys in the garden.

Solution

Let's solve the problem step by step:

1. Let's assume the total number of apples collected in the garden is x. 2. The first boy took 25% of all the apples, which is 0.25x, and an additional 5 apples. 3. The second boy took 60% of the remaining apples after the first boy's share, which is 0.60 * (x - 0.25x - 5), and an additional 2 apples. 4. The third boy took the remaining 20 apples. 5. We can set up an equation to represent the given information and solve for x.

Let's calculate the total number of apples:

1. The first boy's share: 0.25x + 5 apples. 2. The second boy's share: 0.60 * (x - 0.25x - 5) + 2 apples. 3. The third boy's share: 20 apples.

To find the total number of apples, we need to sum up the shares of all three boys:

(0.25x + 5) + (0.60 * (x - 0.25x - 5) + 2) + 20 = x

Now, let's solve this equation to find the value of x.

Calculation

(0.25x + 5) + (0.60 * (x - 0.25x - 5) + 2) + 20 = x

Simplifying the equation:

0.25x + 5 + 0.60x - 0.15x - 3 + 2 + 20 = x

Combining like terms:

0.25x + 0.60x - 0.15x + 5 - 3 + 2 + 20 = x

0.70x + 24 = x

Subtracting 0.70x from both sides:

24 = 0.30x

Dividing both sides by 0.30:

x = 80

Answer

The total number of apples collected by the boys in the garden is 80 apples.

Explanation

The first boy took 25% of all the apples, which is 0.25 * 80 = 20 apples, and an additional 5 apples. So, the first boy took a total of 20 + 5 = 25 apples.

The second boy took 60% of the remaining apples after the first boy's share. The remaining apples after the first boy's share are 80 - 25 = 55 apples. So, the second boy took 0.60 * 55 = 33 apples, and an additional 2 apples. Therefore, the second boy took a total of 33 + 2 = 35 apples.

The third boy took the remaining 20 apples.

Adding up the shares of all three boys: 25 + 35 + 20 = 80 apples.

Therefore, the total number of apples collected by the boys in the garden is 80 apples.

Note

Please note that the solution provided above is based on the information given in the problem statement. If there are any additional constraints or details not mentioned in the problem, the solution may vary.