SOLUTION: The daily payroll for 100 skilled and unskilled laborers is $8320. Each unskilled laborer earns $64 per day. Each skilled laborer earns $112 per day. How many unskilled laborer

Algebra ->  Customizable Word Problem Solvers  -> Evaluation -> SOLUTION: The daily payroll for 100 skilled and unskilled laborers is $8320. Each unskilled laborer earns $64 per day. Each skilled laborer earns $112 per day. How many unskilled laborer      Log On

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Question 178866: The daily payroll for 100 skilled and unskilled laborers is $8320. Each
unskilled laborer earns $64 per day. Each skilled laborer earns $112 per
day. How many unskilled laborers are there? What is the value of the daily
payroll for the skilled laborers.

Answer by Mathtut(3670) About Me  (Show Source):
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The daily payroll for 100 skilled and unskilled laborers is $8320. Each
unskilled laborer earns $64 per day. Each skilled laborer earns $112 per
day. How many unskilled laborers are there? What is the value of the daily
payroll for the skilled laborers.
:
let x and y be the number of skilled and unskilled workers , respectively
:
x+y=100........eq 1
112x+64y=8320..eq 2
:
rewrite eq 1 to x=100-y and plug that value into eq 2
:
112(100-y)+64y=8320
:
11200-112y+64y=8320
:
-48y=-2880
:
highlight%28y=60%29unskilled workers
:
highlight%28x=100-60=40%29skilled workers
:
payroll for skilled: 40(112)=$highlight%284480%29