SOLUTION: Employer Payroll. An employer has a daily payroll of $1225 when employing some workers at $80 per day and others at $85 per day. When the number of $80 workers is increased by 50
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Question 154053This question is from textbook
: Employer Payroll. An employer has a daily payroll of $1225 when employing some workers at $80 per day and others at $85 per day. When the number of $80 workers is increased by 50% and the number of $85 workers is decreased by 1/5, the new daily payroll is $1540. How many were originally employed at each rate? This question is from textbook
You can put this solution on YOUR website! An employer has a daily payroll of $1225 when employing some workers at $80 per day and others at $85 per day. When the number of $80 workers is increased by 50% and the number of $85 workers is decreased by 1/5, the new daily payroll is $1540. How many were originally employed at each rate?
:
Let x = no. of $80 workers (originally)
Let y = no. of $85 workers
:
$1225 payroll equation
80x + 85y = 1225
:
$1540 payroll equation; (50% increase = 1.5; and 1/5 decrease = .8
80(1.5x) + 85(.8y) = 1540
120x + 68y = 1540
:
Multiply the 1st equation by 1.5 and subtract the above equation:
120x + 127.5y = 1837.5
120x + 68.0y = 1540
------------------------subtraction eliminates x, find y:
0x + 59.5y = 297.5
y =
y = 5 ea $85 workers originally
:
Find x using the 1st equation:
80x + 85(5) = 1225
80x + 425 = 1225
80x = 1225 - 425
x =
x = 10 ea $80 workers originally
:
:
Check solution in equation: 120x + 68y = 1540
120(10) + 68(5) = 1540, confirms our solutions
