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Math Help - help please with this problem

  1. #1
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    Post help please with this problem

    could anyone show me how to work this out please...
    a wage bill for 16 craftsmen and 5 apprentices was 740. a second wage bill for 9 craftsmen and 30 apprentices was the same amount. by using simultaneous equations find the weekly wage of a>the craftsperson and b>the apprentice
    many thanx
    jim
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  2. #2
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    Hello, jim49990!

    A wage bill for 16 craftsmen and 5 apprentices was $740.
    A second wage bill for 9 craftsmen and 30 apprentices was the same amount.
    By using simultaneous equations find the weekly wage of (a) a craftsman and (b) an apprentice.

    Let C be the wage of a craftsman.
    Let A be the wage of an apprentice.

    We are told that: . \begin{array}{cc}16C + 5A & =\;740 \\ 9C + 30A & =\;740\end{array}

    Now solve the system by your favorite method: .elimination, substitution,
    . . Cramer's Rule, augmented matrix, inverse matrix, etc.


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  3. #3
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    Quote Originally Posted by jim49990 View Post
    could anyone show me how to work this out please...
    a wage bill for 16 craftsmen and 5 apprentices was £740. a second wage bill for 9 craftsmen and 30 apprentices was the same amount. by using simultaneous equations find the weekly wage of a>the craftsperson and b>the apprentice
    many thanx
    jim
    wages of craftsman is x £
    wages of apprentices is y£

    the simultaneous equations are
    16x + 5y =740 ----(1)
    9x + 30y = 740 ---(2)

    (1) x 6 ---> 96x+30y=4440
    (2) x 1----> 9x+30y= 740

    sub 87x = 3700

    therefore x = 42.52 sub in (1)
    we get y = 11.91 (apprx)

    - R.Mangaleshwaran
    Last edited by mangaleswaranr; January 23rd 2007 at 12:21 AM. Reason: name include
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