Question

В трех ящиках 140 кг слив. В первом ящике было в 1,2 раза меньше, чем во втором, и на 20 кг больше, чем в третьем. Сколько килограммов слив было в каждом ящике? Срочно даю 80 балов есть 20 мин

Answer 1

Ответ:

1 - х

2 - 1,2х

3 - х +20

всего

3,2х + 20 или же 140 кг

3,2х+20=140

3,2х=120

х = 37,5 кг

второй ящик:

37.5*1,2 = 45 кг

третий:

20+37,5=57,5 кг

Answer 2

Problem Analysis

To solve this problem, we need to find the weights of the fruits in each of the three boxes. We are given the total weight of the fruits in the three boxes and some information about the relative weights of the fruits in the boxes.

Given Information

- Total weight of fruits in the three boxes: 140 kg - Weight of fruits in the first box: 1.2 times less than the second box - Weight of fruits in the first box: 20 kg more than the third box

Solution

Let's assume: - Weight of fruits in the first box = x kg - Weight of fruits in the second box = y kg - Weight of fruits in the third box = z kg

We can form the following equations based on the given information: 1. x + y + z = 140 (Total weight of fruits in the three boxes) 2. x = (1.2)y (Weight of fruits in the first box is 1.2 times less than the second box) 3. x = z + 20 (Weight of fruits in the first box is 20 kg more than the third box)

We can solve these equations to find the weights of the fruits in each box.

Solution Steps

1. Substitute the value of x from equation 2 into equation 3 to get the value of z. 2. Substitute the value of z into equation 1 to solve for y. 3. Use the values of y and z to find the value of x.

Let's proceed with the calculations.

Calculation

Using the given information and the solution steps, we can solve for the weights of the fruits in each box: 1. x = (1.2)y 2. x = z + 20 3. x + y + z = 140

Substituting the value of x from equation 2 into equation 3: (1.2)y + y + (1.2)y - 20 = 140 3.2y - 20 = 140 3.2y = 160 y = 50

Substituting the value of y into equation 1 to solve for x: x = (1.2)y x = (1.2)(50) x = 60

Substituting the value of y into equation 1 to solve for z: z = x - 20 z = 60 - 20 z = 40

Answer

The weights of the fruits in each box are: - First box: 60 kg - Second box: 50 kg - Third box: 40 kg