Question

В трёх вагонах находится 45 т зерна. Во втором вагоне на 4 т меньше, чем в третьем. А в первом вагоне в 1,5 раза больше, чем во втором и третьем вместе. Определи, какой процент составляет вес зерна в первом вагоне.

Answer 1

Ответ:

Объяснение:

Смотри вложение

Answer 2

Problem Analysis

We are given information about the weights of grain in three wagons. The total weight of grain in the three wagons is 45 tons. The second wagon has 4 tons less grain than the third wagon. The first wagon has 1.5 times more grain than the sum of the second and third wagons. We need to determine the percentage of the weight of grain in the first wagon.

Solution

Let's assign variables to represent the weights of grain in each wagon: - Let x be the weight of grain in the first wagon. - Let y be the weight of grain in the second wagon. - Let z be the weight of grain in the third wagon.

From the given information, we can write the following equations: 1. x + y + z = 45 (total weight of grain in the three wagons is 45 tons). 2. y = z - 4 (the second wagon has 4 tons less grain than the third wagon). 3. x = 1.5 * (y + z) (the first wagon has 1.5 times more grain than the sum of the second and third wagons).

We can solve this system of equations to find the values of x, y, and z.

Solving the Equations

Substituting equation 2 into equation 3, we get: x = 1.5 * ((z - 4) + z) x = 1.5 * (2z - 4) x = 3z - 6

Substituting equation 2 and the expression for x into equation 1, we get: (3z - 6) + (z - 4) + z = 45 5z - 10 = 45 5z = 55 z = 11

Substituting the value of z into equation 2, we get: y = 11 - 4 y = 7

Substituting the values of y and z into equation 1, we get: x + 7 + 11 = 45 x + 18 = 45 x = 27

Therefore, the weight of grain in the first wagon (x) is 27 tons, the weight of grain in the second wagon (y) is 7 tons, and the weight of grain in the third wagon (z) is 11 tons.

Calculating the Percentage

To determine the percentage of the weight of grain in the first wagon, we need to calculate (x / 45) * 100.

Substituting the value of x, we get: (27 / 45) * 100 = 60%

Therefore, the weight of grain in the first wagon represents 60% of the total weight of grain in the three wagons.

Answer

The weight of grain in the first wagon represents 60% of the total weight of grain in the three wagons.