Question
If a building contractor hires 5day laborers and 1 concrete finisher his payroll for the day is $935 if he hires 1day laborer and 4 concrete finishers his daily cost is $833 find the daily wage for each type of worker solve the problem using matrix
Answers
5l + 1c = 935
1l + 4c = 833
5 1 935
1 4 833
0 19 3230 <-- 5 times#2 - #1
1 4 833
0 1 170 <--- dived #1 by 19
1 4 833
from there I can tell that c = 170
and l + 4c = 833
l + 4(170) = 833
l = 153
I would not have used matrices to to this, way too complicated for such an easy question
from 1st equation:
c = 935 - 5l
sub into the 2nd
l + 4c = 833
l + 4(935-5l) = 833
-19l = 833-3740
l = 153, and thus c = 935-5(153) = 170
1l + 4c = 833
5 1 935
1 4 833
0 19 3230 <-- 5 times#2 - #1
1 4 833
0 1 170 <--- dived #1 by 19
1 4 833
from there I can tell that c = 170
and l + 4c = 833
l + 4(170) = 833
l = 153
I would not have used matrices to to this, way too complicated for such an easy question
from 1st equation:
c = 935 - 5l
sub into the 2nd
l + 4c = 833
l + 4(935-5l) = 833
-19l = 833-3740
l = 153, and thus c = 935-5(153) = 170