Question

Фабрика выпустила 5520 метров ткани трех цветов: голубого, зеленого и черного. Ткань голубого цвета составляла 30% всей выпущенной ткани. Ткань зеленого цвета составляла 0,5 количества остальной ткани. Сколько метров ткани черного цвета выпустила фабрика? Помогите пожалуйста очень нужно ибо сама я тупая

Answer 1

1) 5520:100·30=1656м - ткани голубого цвета
2) 5520-1656=3864м - ткани  зелёного и чёрного цвета
3) 3864·0,5=1932м - ткани зелёного цвета
4) 3864-1932=1932м - ткани чёрного цвета

Answer 2

Problem Analysis

We are given that a factory has produced 5520 meters of fabric in three colors: blue, green, and black. The blue fabric accounts for 30% of the total fabric produced, and the green fabric accounts for 0.5 times the amount of the remaining fabric. We need to determine the number of meters of black fabric produced by the factory.

Solution

To solve this problem, we can follow these steps:

1. Calculate the number of meters of blue fabric produced. 2. Calculate the total amount of fabric produced excluding the blue fabric. 3. Calculate the number of meters of green fabric produced. 4. Calculate the number of meters of black fabric produced.

Let's calculate each step in detail.

Step 1: Calculate the number of meters of blue fabric produced.

We are given that the blue fabric accounts for 30% of the total fabric produced. To calculate the number of meters of blue fabric, we can use the following formula:

Number of meters of blue fabric = (30/100) * Total fabric

Substituting the given values: Number of meters of blue fabric = (30/100) * 5520

Calculating the result: Number of meters of blue fabric = 0.3 * 5520 = 1656 meters

Step 2: Calculate the total amount of fabric produced excluding the blue fabric.

To calculate the total amount of fabric produced excluding the blue fabric, we need to subtract the number of meters of blue fabric from the total fabric produced:

Total fabric excluding blue = Total fabric - Number of meters of blue fabric

Substituting the given values: Total fabric excluding blue = 5520 - 1656

Calculating the result: Total fabric excluding blue = 3864 meters

Step 3: Calculate the number of meters of green fabric produced.

We are given that the green fabric accounts for 0.5 times the amount of the remaining fabric. To calculate the number of meters of green fabric, we can use the following formula:

Number of meters of green fabric = 0.5 * Total fabric excluding blue

Substituting the given values: Number of meters of green fabric = 0.5 * 3864

Calculating the result: Number of meters of green fabric = 1932 meters

Step 4: Calculate the number of meters of black fabric produced.

To calculate the number of meters of black fabric, we need to subtract the number of meters of blue and green fabric from the total fabric produced:

Number of meters of black fabric = Total fabric - Number of meters of blue fabric - Number of meters of green fabric

Substituting the given values: Number of meters of black fabric = 5520 - 1656 - 1932

Calculating the result: Number of meters of black fabric = 1932 meters

Answer

The factory has produced 1932 meters of black fabric.

Conclusion

In this problem, we calculated the number of meters of black fabric produced by a factory based on the given information. We followed a step-by-step approach to solve the problem and arrived at the answer of 1932 meters of black fabric.