Question

В школьном питомнике пионеры вырастили саженцы акации. Для посадки на школьном участке было выделено 35% всех саженцев , для озеленения завода передали 7/12 всего числа саженцев, остальные 28 саженцев передали в детский сад. Сколько всего саженцев вырастили школьники?

Answer 1

Арифметический способ

1)   $35^0/_0=\frac{35}{100}=\frac{7}{20}$

2)  $\frac{7}{20} + \frac{7}{12}=\frac{7*3+7*5}{60}=\frac{56}{60} =\frac{14}{15}$  часть саженцев для  школьного участка и для завода

3)  $1-\frac{14}{15} =\frac{1}{15}$ часть саженцев для  детского сада

4)  $28*15=420$  всего саженцев вырастили школьники.

Ответ: 420.

Алгебраический способ

Пусть $x$ саженцев всего вырастили школьники, тогда

$\frac{7}{20}x$  - саженцев для  школьного участка;  

$\frac{7}{12}x$  - саженцев для завода

По условию остальные 28 саженцев передали в детский сад.

Уравнение:

$x-(\frac{7}{20}x+\frac{7}{12}x )=28$

$x-\frac{14}{15}x=28$

$\frac{1}{15}x=28$

$x=28:\frac{1}{15}$

$x=\frac{28*15}{1} =420$

Ответ: 420.

Answer 2

Calculation of the Total Number of Seedlings Grown by the Schoolchildren

To calculate the total number of seedlings grown by the schoolchildren, we need to consider the distribution of the seedlings among different locations.

1. Allocation for the School Grounds: - The school allocated 35% of all the seedlings for planting on the school grounds.

2. Allocation for the Factory: - The schoolchildren transferred 7/12 (or approximately 58.33%) of the total number of seedlings to the factory for greening purposes.

3. Allocation for the Kindergarten: - The remaining 28 seedlings were transferred to the kindergarten.

Now, let's calculate the total number of seedlings grown by the schoolchildren.

1. Calculation for the School Grounds: - The school allocated 35% of all the seedlings for planting on the school grounds. - To find the number of seedlings allocated for the school grounds, we multiply the total number of seedlings by the allocation percentage: ``` Number of seedlings for the school grounds = 35% of total number of seedlings ```

2. Calculation for the Factory: - The schoolchildren transferred 7/12 of the total number of seedlings to the factory for greening purposes. - To find the number of seedlings allocated for the factory, we multiply the total number of seedlings by the allocation fraction: ``` Number of seedlings for the factory = (7/12) * total number of seedlings ```

3. Calculation for the Kindergarten: - The remaining 28 seedlings were transferred to the kindergarten.

To find the total number of seedlings grown by the schoolchildren, we sum up the number of seedlings allocated for each location:

Total number of seedlings grown by the schoolchildren = Number of seedlings for the school grounds + Number of seedlings for the factory + Number of seedlings for the kindergarten

Let's perform the calculations:

1. Calculation for the School Grounds: - The school allocated 35% of all the seedlings for planting on the school grounds: ``` Number of seedlings for the school grounds = 35% of total number of seedlings = 0.35 * total number of seedlings ```

2. Calculation for the Factory: - The schoolchildren transferred 7/12 of the total number of seedlings to the factory for greening purposes: ``` Number of seedlings for the factory = (7/12) * total number of seedlings ```

3. Calculation for the Kindergarten: - The remaining 28 seedlings were transferred to the kindergarten.

Finally, we can calculate the total number of seedlings grown by the schoolchildren:

Total number of seedlings grown by the schoolchildren = Number of seedlings for the school grounds + Number of seedlings for the factory + Number of seedlings for the kindergarten

Please provide the total number of seedlings grown by the schoolchildren, and I will be happy to assist you further.