Question

На швейной фабрике сшили костюмы из 1536 м серой ткани и 2952 м коричневой ткани. Коричневых костюмов вышло на 472 больше, чем серых. Сколько сшили серых и коричневых костюмов?

Answer 1

1)2952-1536=1416 м коричневой ткани пошло на 472 костюма

2)1416:472=3  м ткани пошло на 1 костюм

3)1536:3=512 серых костюмов

4)2952:3=984 коричневых костюма

(4) можно так   512+472=984 коричневых костюма)

Ответ: 512 серых костюмов  и  984 коричневых костюма

Answer 2

1) 2 952-1 536=1 416 (м) - разница в количестве ткани (коричневой ткани израсходовали на 1 416 метров больше, чем серой).

2) 1 416:472=3 (м) - ткани идёт на пошив одного костюма.

3) 1 536:3=512 (к.) - пошили из серой ткани.

4) 2 952:3=984 (к.) - пошили из коричневой ткани.

Ответ: на швейной фабрике сшили 512 серых и 984 коричневых костюма.

Answer 3

Calculation of the Number of Grey and Brown Suits

To determine the number of grey and brown suits that were made, we can use the information provided.

According to the given information, the total amount of grey fabric used was 1536 meters, and the total amount of brown fabric used was 2952 meters. It is also mentioned that there were 472 more brown suits than grey suits.

To find the number of grey suits, we need to divide the total amount of grey fabric used by the amount of fabric used per suit. Similarly, to find the number of brown suits, we need to divide the total amount of brown fabric used by the amount of fabric used per suit.

Let's assume that the amount of fabric used per suit is the same for both grey and brown suits.

Let's calculate the number of grey suits first:

Number of Grey Suits:

Total amount of grey fabric used = 1536 meters

Now, we need to find the amount of fabric used per grey suit. To do this, we can divide the total amount of grey fabric used by the number of grey suits:

Amount of fabric used per grey suit = Total amount of grey fabric used / Number of grey suits

Since we don't know the number of grey suits yet, we can represent it as 'x':

Amount of fabric used per grey suit = 1536 meters / x

Next, we can set up an equation based on the information that there were 472 more brown suits than grey suits:

Number of brown suits = Number of grey suits + 472

Now, let's calculate the number of brown suits:

Number of Brown Suits:

Total amount of brown fabric used = 2952 meters

Amount of fabric used per brown suit = Total amount of brown fabric used / Number of brown suits

Again, since we don't know the number of brown suits yet, we can represent it as 'x':

Amount of fabric used per brown suit = 2952 meters / x

Based on the given information, the number of brown suits is 472 more than the number of grey suits. So, we can set up the equation:

Number of brown suits = Number of grey suits + 472

Now, we can solve the equations simultaneously to find the values of 'x' (number of grey suits) and 'x + 472' (number of brown suits).

Let's solve the equations:

1536 / x = 2952 / (x + 472)

To solve this equation, we can cross-multiply:

1536(x + 472) = 2952x

Expanding the equation:

1536x + 724992 = 2952x

Rearranging the equation:

2952x - 1536x = 724992

1416x = 724992

Dividing both sides by 1416:

x = 724992 / 1416

Calculating the value of 'x':

x ≈ 512

Now that we have the value of 'x', we can calculate the number of grey suits and the number of brown suits:

Number of grey suits = x ≈ 512 Number of brown suits = x + 472 ≈ 512 + 472 ≈ 984

Therefore, the number of grey suits is approximately 512, and the number of brown suits is approximately 984.