# Thread: Can someone solve this Ratio Problem ?

1. ## 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.

2. Originally Posted by haftakhan
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:

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

Solve for t and p.

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

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

Solve for x and y.

3. Thanks