Question

Решите задачу с помощью уравнения: В трех ящиках 32 кг яблок. Сколько яблок в каждом ящике, если во втором ящике в 2раза больше яблок, чем в первом, а в третьем на 3 кг меньше, чем во втором? Запишите полностью решение.

Answer 1

Пусть х кг. - первый ящик.
Составим уравнение:
х+2х+(2х-3)=32
х+2х+2х-3=32
5х-3=32
5х=32+3
5х=35
х=35/5
х=7 кг. яблок в первом ящике.
7*2=14 кг. яблок во втором ящике.
7*2-3=11 кг. яблок в третьем ящике.

Answer 2

X кг - 1ящик, 2x кг - 2 ящик, (2x -3)ru - 3 ящик
x+2x+ 2x-3= 32
x=7 кг
7*2=14кг - 2 ящик, 14-3=11кг - 3 ящик

Answer 3

Problem Analysis

We are given three boxes with a total of 32 kg of apples. The second box has twice as many apples as the first box, and the third box has 3 kg less than the second box. We need to find the number of apples in each box.

Let's assume that the number of apples in the first box is x.

Solution

Based on the given information, we can set up the following equations:

1. The second box has twice as many apples as the first box: b = 2x. 2. The third box has 3 kg less than the second box: c = b - 3.

To find the values of x, b, and c, we can substitute the values from equation 1 into equation 2:

c = (2x) - 3

Since the total weight of the apples in all three boxes is 32 kg, we can set up another equation:

x + b + c = 32

Now we have a system of two equations with two unknowns. We can solve this system to find the values of x, b, and c.

Solving the System of Equations

Substituting the value of b from equation 1 into equation 2, we get:

c = (2x) - 3

Substituting the values of x and c into the third equation, we get:

x + (2x) + ((2x) - 3) = 32

Simplifying the equation:

5x - 3 = 32

Adding 3 to both sides:

5x = 35

Dividing both sides by 5:

x = 7

Now that we have the value of x, we can substitute it back into equation 1 to find the value of b:

b = 2x = 2(7) = 14

Finally, we can substitute the values of x and b into equation 2 to find the value of c:

c = b - 3 = 14 - 3 = 11

Therefore, there are 7 apples in the first box, 14 apples in the second box, and 11 apples in the third box.

Answer

There are 7 apples in the first box, 14 apples in the second box, and 11 apples in the third box.