# 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?

1
by migs2

• 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
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-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

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)