Question

В одном ящике было 200 кг апельсинов, а во втором - 120 кг. Из первого брали ежедневно по 30 кг, а из второго- по 25 кг.Через сколько дней в первом ящике останется в 4 раза больше апельсинов, чем во втором?

Answer 1

X- КОЛИЧЕСТВО ДНЕЙ 
200-30X/(120-25X)=4
200-30X/(120-25X)-4=0
200-30X-480+100X/(120-X)=0
-280+ 70X=0
70X=280
X=4

Ответ 4 дня

Answer 2

Пусть x- количество дней; составляем уравнение: 200-30*x=4*(120-25*x); 200-30x=480-100x; 100x-30x=480-200; 70x=280; x=280/70=4(дня). Ответ: через 4 дня. 

Answer 3

Problem Analysis

We are given two boxes of oranges, one weighing 200 kg and the other weighing 120 kg. From the first box, 30 kg of oranges are taken daily, and from the second box, 25 kg of oranges are taken daily. We need to determine how many days it will take for the first box to have four times as many oranges as the second box.

Solution

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

To find the number of oranges in each box after "x" days, we can subtract the amount of oranges taken from each box daily for "x" days.

The number of oranges remaining in the first box after "x" days can be calculated as: 200 kg - (30 kg/day * x) = 200 kg - 30x kg

The number of oranges remaining in the second box after "x" days can be calculated as: 120 kg - (25 kg/day * x) = 120 kg - 25x kg

According to the problem, the number of oranges in the first box after "x" days should be four times the number of oranges in the second box after "x" days. Mathematically, this can be represented as:

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

Now, we can solve this equation to find the value of "x".

Calculation

Let's solve the equation to find the value of "x".

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

Simplifying the equation:

200 kg - 30x kg = 480 kg - 100x kg

Combining like terms:

70x kg = 280 kg

Dividing both sides by 70 kg:

x = 4

Therefore, it will take 4 days for the first box to have four times as many oranges as the second box.

Answer

It will take 4 days for the first box to have four times as many oranges as the second box.