Question

Помогите решить задачу. В одном контейнере было 200 кг яблок, а во втором - 120 кг.. Из первого брали ежедневно по 30 кг, а из второго - по 25 кг. Через сколько дней в первом контейнере останется в 4 раза больше яблок, чем во втором.

Answer 1

Пусть это произойдет через х дней.
В первом контейнере останется (200-30х) кг  яблок,
 а во втором- (120-25х) кг
По условию
(200-30х)  в 4 раза больше, чем  (120-25х).
Составляем уравнение
200-30х=4·(120-25х)
200-30х=480-100х
100х-30х=480-200
70х=280
х=4
Ответ Через 4 дня

В первом останется 200-120=80 кг
Во втором 120-100=20 кг
80 в 4 раза больше, чем 20

Answer 2

Пусть х-колличество дней, тогда
(200-30х)/(120-25х)=4
200-30х=4*120-25х
200-30х=480-100х
100х-30х=480-200
70х=280
х=280/70=4
отв: через 4 дня

Answer 3

Problem Analysis

To solve this problem, we need to determine the number of days it will take for the first container to have four times as many apples as the second container. We are given that the first container initially has 200 kg of apples, and the second container initially has 120 kg of apples. Each day, 30 kg of apples are taken from the first container, and 25 kg of apples are taken from the second container.

Solution

Let's assume it takes "x" days for the first container to have four times as many apples as the second container.

After "x" days, the first container will have 200 - 30x kg of apples remaining, and the second container will have 120 - 25x kg of apples remaining.

According to the problem statement, the number of apples in the first container will be four times the number of apples in the second container. Mathematically, we can represent this as:

200 - 30x = 4(120 - 25x)

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

Solving the Equation

200 - 30x = 4(120 - 25x)

Expanding the equation:

200 - 30x = 480 - 100x

Combining like terms:

70x - 30x = 480 - 200

Simplifying:

40x = 280

Dividing both sides by 40:

x = 7

Therefore, it will take 7 days for the first container to have four times as many apples as the second container.

Answer

It will take 7 days for the first container to have four times as many apples as the second container.