Question

in a factory the technicians are paid $24 per day and the packers $20 If there are 540 workers and the total wage per day is $12000 find the number of technicians and number of packers employed

Answer 1

If

technicians = x
packer = y

x+y = 540
x = 540 - y

24x + 20y = 12000
12x + 10y = 6000
subtitute x 
12(540-y)+10y = 6000
6480-12y+10y = 6000
6480-6000 = 2y
y = 480/2 = 240

substitute y to
x = 540-y
x = 540-240 = 300

so, the number of technicians are 300 and the number of packers are 240