A computer service center hires 15 technicians and two supervisors for total daily wages of Php 11,350. If two of the technicians are promoted as supervisors, the total daily wages become Php 11,650. What are the daily wages for a technician and a supervisor?
And solution please?

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Answers

  • Brainly User
2016-03-08T01:23:25+08:00
Daily wage of technician: x
Daily wage of supervisor: y

System:
Equation A:  15x + 2y = 11,350


Equation B:  (15-2)x + (2+2)y = 11,650    or
                       13x + 4y = 11,650

Solve the system by elimination method:

Equation A:
  -2 (15x + 2y = 11,350) -2
  -30x - 4y = - 22,700

Eliminate y:
   
     -30x - 4y = -22,700
      13x + 4y = 11,650
--------------------------------------
     -17x + 0   = -11,050
   
     -17x/-17 = -11,050/-17
      x = 650

Substitute 650 for x in Equation B:
     13x + 4y = 11,650
     13(650) + 4y = 11,650
      8,450 + 4y = 11,650
      4y = 11,650 - 8,450
      4y = 3,200
      
      4y/4 = 3,200/4
      y = 800

ANSWER: 
Daily wage of technician: x = Php 600
Daily wage of technician: y = Php 800
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Check:
Equation A:
     15(650) + 2(800) = 11,350
      9,750 + 1,600 = 11,350
      11,350 = 11,350   (True)

Equation B:
     13(650) + 4(800) = 11,650
     8,450 + 3,200 = 11,650
     11,650 = 11.650  (True)
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