Question

Две швеи сшили 183 костюма,причём одна из них работает в 2 раза быстрее другой.Сколько костюмов сшила каждая швея?

Answer 1

183:(1+2)=61 костюм шьётся за раз

одна швея сшила 61 костюм

2*61=122 костюма сшила вторая швея

Answer 2

одна сшила  х

вторая       2х

х+2х=183

3х=183

х=183/3

х=61 - сшила одна швея

61х2=122  - сшила вторая швея

Answer 3

Calculating the Number of Costumes Sewn by Each Seamstress

To solve this problem, we can use a system of linear equations. Let's denote the number of costumes sewn by the slower seamstress as x and the number of costumes sewn by the faster seamstress as y. We are given that the faster seamstress works twice as fast as the slower one, so we can express this relationship as:

y = 2x

We also know that the total number of costumes sewn by both seamstresses is 183, which gives us another equation:

x + y = 183

Now, we can solve this system of equations to find the values of x and y.

Solution

Using the equation y = 2x, we can substitute y in the second equation:

x + 2x = 183

Solving for x: 3x = 183 x = 61

Substituting x back into the equation y = 2x: y = 2 * 61 y = 122

Answer

So, the slower seamstress sewed 61 costumes, and the faster seamstress sewed 122 costumes.