MathYouLike MathYouLike
  • Toggle menubar
  • Toggle fullscreen
  • Toggle Search
  •    Sign up
  • QUESTIONS
  • TAGS
  • USERS
  • BADGES
  • UNANSWERD
  • ASK A QUESTION
  • BLOG
...

Lê Quốc Trần Anh Coordinator

05/01/2018 at 17:31
Answers
2
Follow

 Of the 2000 students in Houston High School, 70% are male. How many male students must be moved to another school so that 60% of the Houston High student body will be males?




    List of answers
  • ...
    Alone 05/01/2018 at 19:04

    Put \(x\) is the number of  males;n is the number of male students must be moved to another school

    We have:\(\left\{{}\begin{matrix}\dfrac{x}{2000}.100=70\\\dfrac{x-n}{2000-n}.100=60\end{matrix}\right.\) 

    \(\Rightarrow\left\{{}\begin{matrix}x=1400\\x-n=0,6\left(2000-n\right)\end{matrix}\right.\)\(\Rightarrow1400-n=1200-0,6n\)

    \(\Rightarrow0,4n=200\Rightarrow n=200:0,4=500\)

    So the answer is:500 male students

    Lê Quốc Trần Anh selected this answer.
  • ...
    FA Liên Quân Garena 08/01/2018 at 21:41

    Put x

     is the number of  males;n is the number of male students must be moved to another school

    We have:⎧⎪ ⎪⎨⎪ ⎪⎩x2000.100=70x−n2000−n.100=60

    ⇒{x=1400x−n=0,6(2000−n)

    ⇒1400−n=1200−0,6n

    ⇒0,4n=200⇒n=200:0,4=500

    So the answer is:500 male students


Post your answer

Please help Lê Quốc Trần Anh to solve this problem!



Weekly ranking


© HCEM 10.1.29.225
Crafted with by HCEM