Question

Помогите решить задачу Для ремонта школы привезли 900 штук белых и красных кирпичей, одинаковой по массе.Масса всех красных кирпичей 1900 кг, а масса белых 1700 кг. Найди количество красных и белых кирпичей в отдельности

Answer 1

1700+1900=3600 кг масса всех кирпичей                                                                 3600:900=4 кг весит 1 кирпич                                                                                    1900:4=475 красных кирпичей                                                                                   1700:4=425 белых кирпичей

Answer 2

Problem Analysis

To solve this problem, we need to find the number of red and white bricks separately. We are given that the total mass of red bricks is 1900 kg and the total mass of white bricks is 1700 kg. Additionally, we know that the mass of each red and white brick is the same.

Solution

Let's assume the mass of each brick is m kg. We can set up the following equations based on the given information:

1. The total mass of red bricks is 1900 kg: - Number of red bricks * mass of each red brick = 1900 kg - Let's denote the number of red bricks as x: - x * m = 1900 (Equation 1)

2. The total mass of white bricks is 1700 kg: - Number of white bricks * mass of each white brick = 1700 kg - Let's denote the number of white bricks as y: - y * m = 1700 (Equation 2)

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

Solving the Equations

To solve the equations, we can divide Equation 1 by Equation 2:

(x * m) / (y * m) = 1900 / 1700

Simplifying the equation:

x / y = 19 / 17

Since the mass of each brick is the same, the ratio of the number of red bricks to the number of white bricks is 19:17.

Finding the Number of Bricks

To find the actual number of red and white bricks, we need to find the common multiple of 19 and 17. The common multiple is 323.

Therefore, the number of red bricks is 19 * 323 = 6137, and the number of white bricks is 17 * 323 = 5491.

Answer

The number of red bricks is 6137, and the number of white bricks is 5491.

Verification

Let's verify our answer using the given information:

1. The total mass of red bricks is 1900 kg: - Number of red bricks * mass of each red brick = 6137 * m = 1900 kg - Solving for m: m = 1900 / 6137 ≈ 0.3099 kg - The mass of each red brick is approximately 0.3099 kg.

2. The total mass of white bricks is 1700 kg: - Number of white bricks * mass of each white brick = 5491 * m = 1700 kg - Solving for m: m = 1700 / 5491 ≈ 0.3099 kg - The mass of each white brick is approximately 0.3099 kg.

The mass of each red and white brick is the same, which confirms the validity of our solution.

Conclusion

The number of red bricks is 6137, and the number of white bricks is 5491.