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Math Help - Can someone solve this Ratio Problem ?

  1. #1
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    Can someone solve this Ratio Problem ?

    Q) In a factory , the technicians are paid $24 per day and the packers $20.If there are 540 workers and the total wage bill per day is $ 12000.Find the number of technicians and the number of packers employed.

    The ratio of two sums of money is 4:3.If the larger sum of money is increased by $40,The ratio becomes 2:1.Find the sums of Money.
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    Quote Originally Posted by haftakhan View Post
    Q) In a factory , the technicians are paid $24 per day and the packers $20.If there are 540 workers and the total wage bill per day is $ 12000.Find the number of technicians and the number of packers employed.

    The ratio of two sums of money is 4:3.If the larger sum of money is increased by $40,The ratio becomes 2:1.Find the sums of Money.
    1. Let t denote the number of technicians and p the number of packers. Then you know:

    \left|\begin{array}{rcl} t+p&=&540 \\  24t+20 p&=&12,000 \end{array}\right.

    Solve for t and p.

    2. Let x denote the larger sum and y the smaller one. Then you know:

    \left| \begin{array}{rcl}\dfrac xy = \dfrac43 \\ \\ \dfrac{x+40}y=2 \end{array}\right.

    Solve for x and y.
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