Question

На все рубашки пошло 32 м ткани, а на все платья 48 м. Расход ткани на каждое изделие был одинаковый. Сколько сшили рубашек и сколько сшили платьев, если платьев сшили на 4 больше, чем рубашек?

Answer 1

1) 48-32=16 (на 16 м больше ушло ткани на платья)                                           2) 16:4=4 (м) ткани ушло на одно изделие                                                          3) 32:4=8 рубашек сшили                                                                                   4) 48:4=12 платьев сшили                                                                                 Ответ: Сшили 8 рубашек и 12 платьев

Answer 2

Solution:

Let's denote the number of shirts as x and the number of dresses as y. We are given that the total fabric used for all the shirts is 32m and for all the dresses is 48m. Additionally, we know that the fabric used for each item is the same.

We also know that the number of dresses is 4 more than the number of shirts.

We can set up the following system of equations to solve for the number of shirts and dresses:

1. 32x = total fabric for shirts 2. 48y = total fabric for dresses 3. y = x + 4

Let's solve the system of equations to find the values of x and y.

Calculation:

From equation 1, we have: 32x = 32m From equation 2, we have: 48y = 48m From equation 3, we have: y = x + 4

Now, we can substitute the values of x and y from equations 1 and 2 into equation 3 to solve for x:

x + 4 = y

Substitute the values of x and y from equations 1 and 2: x + 4 = 48/32 * x

Solving for x: x + 4 = 3/2 * x 4 = 1/2 * x x = 8

Now that we have the value of x, we can find the value of y: y = x + 4 y = 8 + 4 y = 12

Answer:

So, they made 8 shirts and 12 dresses.