Question

В трёх ящиках 40 кг помидоров,причём в первом ящике на 2 кг больше ,чем во втором, и на 3 кг меньше ,чем в третьем.сколько помидоров в каждом ящике? Задача уровнением с иксом

Answer 1

Пусть x кг во  втором ящике , тогда в первом x+2 кг , а в третьем  x+ 2+3 

Получаем уравнение

x+x+2+x+5=40

3x=33

x=11

11- во втором

11+2=13 кг в первом

11+5=16 кг в третьем

Answer 2

1 ящик=х кг

2 ящ=х-2

3ящ=х+3

всего 40кг

х+х+3+х-2=40

3х+1=40

3х=40-1

3х=39

х=13  кг==1 ящик

13-2=11 кг во 2 ящике

13+3=16 кг в 3 ящике

13+11+16=40 кг всего

 

Answer 3

Problem Analysis

We are given three boxes of tomatoes, with a total weight of 40 kg. The weight of the tomatoes in the first box is 2 kg more than the second box, and 3 kg less than the third box. We need to find the number of tomatoes in each box using an equation with variables.

Solution

Let's assume the weight of tomatoes in the second box is x kg.

According to the problem, the weight of tomatoes in the first box is 2 kg more than the second box, so it would be x + 2 kg.

The weight of tomatoes in the third box is 3 kg less than the third box, so it would be x + 3 kg.

The total weight of the tomatoes in all three boxes is 40 kg, so we can write the equation:

(x) + (x + 2) + (x + 3) = 40

Simplifying the equation:

3x + 5 = 40

Subtracting 5 from both sides:

3x = 35

Dividing both sides by 3:

x = 35 / 3

Calculating the value of x:

x = 11.67

Since we cannot have a fraction of a tomato, we need to round the value of x to the nearest whole number.

Therefore, the weight of tomatoes in the second box is approximately 12 kg.

Now, we can calculate the weight of tomatoes in the first and third boxes:

- The weight of tomatoes in the first box is x + 2 = 11.67 + 2 = 13.67, which rounds to approximately 14 kg. - The weight of tomatoes in the third box is x + 3 = 11.67 + 3 = 14.67, which rounds to approximately 15 kg.

Answer

Therefore, there are approximately: - 12 kg of tomatoes in the second box, - 14 kg of tomatoes in the first box, and - 15 kg of tomatoes in the third box.