A construction company employs technicians and artisans. One a certain day 4 technicians and artisans were hired and paid a total of sh 9000. On another day the firm hired 4 technicians and 1 artisans and paid a total of sh 9500. Calculate the cost of hiring 2 technicians and 5 artisans in a day.

Answer 1

daily rate of technician --- x
daily rate of artisan ---- y
"4 technicians and 1 artisans and paid a total of sh 9500"
---> 4x + y = 9500
"One a certain day 4 technicians and artisans were hired and paid a total of sh 9000" , could be
3x + y = 9000, y = 9000-3x ----- case1
2x + 2y = 9000 , y = 4500 - x , -- case2
x + 3y = 9000, x = 9000-3y, ---- case3

case1: 4x + (9000-3x) = 9500
x = 500, then y = 7500 , so 2x+5y = $38,500

case2: 4x + (4500-x) = 9500
x = 1666.67, y = 283.33, and 2x+5y = $17,500

case3: 4(9000-3y) +y = 9500
36000 - 12y + y = 9500
y = 2409.09 , x = 1772.73, and 2x+5y = $15,590.91

Answer 2

3x + 2y = 9000
4x + y = 9500

y = 9500 - 4x

3x + 2(9500 - 4x) = 9000
3x + 19000 - 8x = 9000
-5x = - 10000
x = 2000
y = 9500 - 8000
y = 1500