Question

ДОМАШНЕЕ ЗАДАНИЕ 11 Реши задачу. На швейной фабрике сшили костюмы из 1 536 м серой ткани и 2 952 мко- ричневой ткани. Коричневых костю- мов вышло на 472 больше, чем серых. Сколько сшили серых и коричневых Костюмов? срочно через 2 часа в школу 15балов​

Answer 1

Ответ:

512 серых костюмов и 984 коричневых костюма

Пошаговое объяснение:

1) 2952 - 1536 = 1416 (м) на сколько метров больше израсходовали коричневую ткань

2) 1416 : 472 = 3 (м) количество метров ткани на пошив одного костюма

3) 1536 : 3 = 512 (шт.) количество серых костюмов

4) 2952 : 3 = 984 (шт.) количество коричневых костюмов

Answer 2

To solve this problem, we can set up a system of equations based on the given information. Let's denote the number of gray suits as 'x' and the number of brown suits as 'y'.

From the problem, we know that the total amount of gray fabric used is 1,536 m and the total amount of brown fabric used is 2,952 m. We also know that the number of brown suits is 472 more than the number of gray suits.

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

Equation 1: x + y = total number of suits Equation 2: 1,536 = x * gray fabric per suit Equation 3: 2,952 = y * brown fabric per suit Equation 4: y = x + 472

To solve this system of equations, we can substitute Equation 4 into Equation 1:

x + (x + 472) = total number of suits

Simplifying this equation, we get:

2x + 472 = total number of suits

Now, we can substitute the values from Equations 2 and 3 into this equation:

2x + 472 = 1,536 + 2,952

Simplifying further:

2x + 472 = 4,488

Subtracting 472 from both sides:

2x = 4,016

Dividing both sides by 2:

x = 2,008

So, the number of gray suits is 2,008.

To find the number of brown suits, we can substitute this value back into Equation 4:

y = 2,008 + 472 y = 2,480

Therefore, the number of brown suits is 2,480.

In conclusion, they made 2,008 gray suits and 2,480 brown suits.

I hope this helps! Let me know if you have any further questions.