Results 1 to 2 of 2

Math Help - simultaneous equations

  1. #1
    Newbie
    Joined
    Dec 2006
    Posts
    11

    simultaneous equations

    the weekly wage bill for 16 craftsmen & 5 apprentices was 740.00. Another weekly wage bill for 9 craftswomen and 30 apprentices was exactly the same amount. By using simultaneous equations, Fid the weely wage of a craftsperson and an apprentice.

    working out showing too wuld be great.thnx
    Follow Math Help Forum on Facebook and Google+

  2. #2
    is up to his old tricks again! Jhevon's Avatar
    Joined
    Feb 2007
    From
    New York, USA
    Posts
    11,663
    Thanks
    3
    Quote Originally Posted by jaswinder View Post
    the weekly wage bill for 16 craftsmen & 5 apprentices was 740.00. Another weekly wage bill for 9 craftswomen and 30 apprentices was exactly the same amount. By using simultaneous equations, Fid the weely wage of a craftsperson and an apprentice.

    working out showing too wuld be great.thnx
    Let the weekly wage for craftsmen be c
    Let the weekly wage for apprentices be a, then:

    16c + 5a = 740.............................(1)
    9c + 30a = 740.............................(2)

    96c + 30a = 4440 .........................(3) which we got by 6*(1)
    9c +30a = 740...............................(2)

    Subracting (2) from (3) we obtain:
    87c = 3700
    => c = 42.53

    But 9c + 30a = 740
    => 9(42.53) + 30a = 740
    => a = (740 - 382.77)/30 = 11.91


    Times must be rough in England, a weeks work only earning 42 pounds! and 12 pounds if you're an apprentice!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Simultaneous Equations 4 variables, 4 equations
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: December 7th 2011, 05:06 PM
  2. Simultaneous equations.
    Posted in the Algebra Forum
    Replies: 2
    Last Post: September 16th 2011, 06:09 PM
  3. Simultaneous log equations
    Posted in the Algebra Forum
    Replies: 6
    Last Post: March 28th 2010, 07:52 AM
  4. Replies: 3
    Last Post: February 27th 2009, 08:05 PM
  5. simultaneous equations
    Posted in the Algebra Forum
    Replies: 4
    Last Post: February 5th 2009, 10:20 PM

Search Tags


/mathhelpforum @mathhelpforum