Question

Школьники трёх классов помогали в уборке картофеля. Один класс собрал 230 кг картофеля, другой- на 20 кг больше, чем первый, но оба класса собрали вместе на 40кг меньше, чем третий класс. Сколько килограммов картофеля было собрано тремя классами? ПОЖАЛУЙСТА, РЕШЕНИЕ И КРАТКУЮ ЗАПИСЬ(

Answer 1

Один класс - 230
другой 230+20=250
оба класса вместе 230+250=480
480 - это на 40 меньше, чем третий, щначит третий 480+40=520.
а теперь все вместе: первый 230, второй 250, третий 520
230+250+520=1000

Answer 2

Problem Analysis

We are given information about three classes helping in the potato harvest. One class collected 230 kg of potatoes, another collected 20 kg more than the first class, and together they collected 40 kg less than the third class. We need to find the total weight of potatoes collected by all three classes.

Solution

Let's denote the weight of potatoes collected by the first class as x kg. According to the problem, the second class collected 20 kg more than the first class, so the weight collected by the second class is x + 20 kg.

Together, the first and second classes collected 40 kg less than the third class, so the weight collected by the third class is (x + x + 20) + 40 = 2x + 60 kg.

The total weight of potatoes collected by all three classes is the sum of the weights collected by each class: x + (x + 20) + (2x + 60) kg.

To find the value of x, we can set up an equation and solve for it.

Equation

The equation representing the given information is: x + (x + 20) + (2x + 60) = Total weight

Calculation

Let's solve the equation to find the value of x and then calculate the total weight.

x + (x + 20) + (2x + 60) = Total weight

Combining like terms: 4x + 80 = Total weight

Subtracting 80 from both sides: 4x = Total weight - 80

Dividing both sides by 4: x = (Total weight - 80) / 4

Now we can substitute the value of x back into the equation to find the total weight.

Calculation Continued

Substituting the value of x into the equation: (Total weight - 80) / 4 + [(Total weight - 80) / 4 + 20] + 2[(Total weight - 80) / 4] + 60 = Total weight

Combining like terms: (Total weight - 80) / 4 + (Total weight - 80) / 4 + 20 + 2(Total weight - 80) / 4 + 60 = Total weight

Multiplying through by 4 to eliminate the fractions: Total weight - 80 + Total weight - 80 + 80 + 2(Total weight - 80) + 240 = 4 * Total weight

Simplifying: 2 * Total weight - 160 + 320 + 2 * Total weight + 240 = 4 * Total weight

Combining like terms: 4 * Total weight = 2 * Total weight + 720

Subtracting 2 * Total weight from both sides: 2 * Total weight = 720

Dividing both sides by 2: Total weight = 360

Therefore, the total weight of potatoes collected by all three classes is 360 kg.

Answer

The total weight of potatoes collected by the three classes is 360 kg.