Question

Пожалуйста помогите решить задачу!!!З мішка в контейнер пересипали спочатку 25% піску, який був у мішку, потім ще 5кг, а потім ще 10% від залишку. При цьому кількість піску в контейнері збільшилась на 6%. Скільки піску було в мішку, якщо в контейнері спочатку було 400кг піску?По русскиИз мешка в контейнер пересыпали сначала 25% песка, который был в мешке, потом еще 5кг, а потом еще 10% остатка. При этом количество песка в контейнере увеличилось на 6%. Сколько песка было в мешке, если в контейнере сначала было 400кг песка?

Answer 1

Всего насыпали 400*0,06=24 кг
х - количество кг в мешке
0,25х+5+(х-0,25х-5)*0,1=24
0,25х+5+0,075х-0,5=24
0,325х=24-4,5
0,325х=19,5
х=60 кг песка было в мешке

Answer 2

Problem Analysis

To solve this problem, we need to determine the amount of sand that was initially in the bag. We are given that 25% of the sand in the bag was poured into the container, followed by an additional 5 kg, and then 10% of the remaining sand. We also know that the amount of sand in the container increased by 6% from its initial weight of 400 kg.

Solution

Let's break down the problem step by step:

1. We pour 25% of the sand from the bag into the container. This means that 25% of the sand in the bag is equal to 0.25 times the total amount of sand in the bag. 2. After pouring the initial 25%, we add an additional 5 kg of sand to the container. 3. Next, we pour 10% of the remaining sand from the bag into the container. This means that 10% of the remaining sand in the bag is equal to 0.10 times the total amount of sand in the bag after the first pour. 4. Finally, we know that the weight of the sand in the container increased by 6% from its initial weight of 400 kg. This means that the weight of the sand in the container after all the pouring is equal to 400 kg plus 6% of 400 kg.

Let's calculate the amount of sand in the bag step by step:

1. Pouring 25% of the sand from the bag into the container: - Let x be the total amount of sand in the bag. - The amount of sand poured into the container is 0.25x.

2. Adding an additional 5 kg of sand to the container: - The total amount of sand in the container is now 0.25x + 5 kg.

3. Pouring 10% of the remaining sand from the bag into the container: - The remaining sand in the bag is x - 0.25x = 0.75x. - The amount of sand poured into the container is 0.10 * 0.75x = 0.075x.

4. The weight of the sand in the container after all the pouring is 400 kg + 6% of 400 kg: - The weight of the sand in the container is 400 kg + 0.06 * 400 kg = 424 kg.

Now, we can set up an equation to solve for x, the initial amount of sand in the bag:

0.25x + 5 kg + 0.075x = 424 kg

Combining like terms:

0.325x + 5 kg = 424 kg

Subtracting 5 kg from both sides:

0.325x = 419 kg

Dividing both sides by 0.325:

x = 419 kg / 0.325

Calculating x:

x ≈ 1289.23 kg

Therefore, the initial amount of sand in the bag was approximately 1289.23 kg.

Answer

If the initial weight of the sand in the container was 400 kg, then the initial amount of sand in the bag was approximately 1289.23 kg.