
На первом складе было в 4 раза больше центнеров яблок, чем на другом. Когда на первый склад
привезли 15 центнеров, а на второй склад 30 центнеров, то количество яблок на складах стало поровну. Сколько центнеров яблок на каждом складе было первоначально?

Ответы на вопрос

Объяснение:
4x — яблок на первом складе.
x — яблок на втором складе.
4x + 15 = x + 30
4x — x = 30 — 15
3x = 15
x = 15/3 = 5 ц. яблок было на втором складе.
5 * 4 = 20 ц. яблок было на первом складе.



Problem Analysis
We are given that there were 4 times more centners of apples on the first warehouse than on the second warehouse. When 15 centners were brought to the first warehouse and 30 centners were brought to the second warehouse, the number of apples on both warehouses became equal. We need to find out how many centners of apples were initially on each warehouse.
Solution
Let's assume that the number of centners of apples on the second warehouse is x. According to the given information, the number of centners of apples on the first warehouse is 4x.
When 15 centners were brought to the first warehouse, the total number of centners of apples on the first warehouse became 4x + 15. Similarly, when 30 centners were brought to the second warehouse, the total number of centners of apples on the second warehouse became x + 30.
Since the number of apples on both warehouses became equal, we can set up the following equation:
4x + 15 = x + 30
Simplifying the equation, we get:
3x = 15
Dividing both sides of the equation by 3, we find:
x = 5
So, there were initially 5 centners of apples on the second warehouse. Since the number of centners of apples on the first warehouse was 4 times more, there were 4 * 5 = 20 centners of apples on the first warehouse.
Therefore, initially there were 20 centners of apples on the first warehouse and 5 centners of apples on the second warehouse.
Answer
Initially, there were 20 centners of apples on the first warehouse and 5 centners of apples on the second warehouse.


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