На два платья и пять сарафанов ушло 18 м ткани, а на три таких же платья и десять таких же сарафанов ушло 32,5 м ткани. Сколько ткани требуется на одно платье и сколько на один сарафан

Обозначим платья за х, а сарафаны за у. И решим задачу, составив систему уравнений:

2х + 5у = 18

3х + 10у = 32,5

х = (18 — 5у)/2

Подставим х во второе уравнение:

3*(18 — 5у)/2 + 10у = 32,5

Сокращает 3 в числителе и 2 в знаменателе, получаем:

1,5 * (18 — 5у) + 10у = 32,5

27 — 7,5у + 10у = 32,5

-7,5 у + 10у = 32,5 — 27

2,5у = 5,5

у = 2,2

Тогда х = (18 — 5*2,2)/2

х = (18 — 11)/2

х = 7/2

х = 3,5

Ответ: на одно платье требуется 3,5 метров ткани, на один сарафан — 2,2 метра.

Понравилась статья? Поделиться с друзьями:
Комментарии: 7
  1. web hosting company

    Your style is unique compared to other people I’ve read stuff from.
    I appreciate you for posting when you’ve got the opportunity,
    Guess I’ll just book mark this blog.

  2. web hosting sites

    What’s up, yes this post is in fact nice and I have learned lot of things from it about
    blogging. thanks.

  3. cheap flights

    I’ve been exploring for a bit for any high-quality articles or
    blog posts on this sort of area . Exploring in Yahoo I finally stumbled upon this web
    site. Studying this info So i’m glad to show that I have a
    very just right uncanny feeling I found out just
    what I needed. I such a lot indubitably will make sure to do not forget
    this site and provides it a look regularly. 3gqLYTc cheap flights

  4. cheap flights

    If some one needs expert view regarding blogging then i suggest
    him/her to pay a quick visit this web site, Keep up the nice work.
    cheap flights 31muvXS

  5. cheap flights

    You should be a part of a contest for one of the most useful websites on the internet.
    I’m going to highly recommend this blog!

  6. black mass

    Hmm it looks like your blog ate my first comment
    (it was super long) so I guess I’ll just sum it up what I submitted and say, I’m thoroughly enjoying your
    blog. I too am an aspiring blog writer but I’m still new to the whole thing.

    Do you have any helpful hints for newbie blog writers?
    I’d genuinely appreciate it.

  7. black mass

    Thank you for another informative site. The
    place else may just I get that kind of info
    written in such an ideal method? I have a undertaking that I
    am simply now working on, and I have been at the
    look out for such information.

Добавить комментарий