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Question 128877This question is from textbook Introductory Algebra
: I appreciate any help with this problem: Thanks!!
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 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 Introductory Algebra
Answer by stanbon(75887)   (Show Source):
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 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?
You may edit the question. Maybe convert
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Let "x" be # of $80 workers ; Let "y" be # of $85 workers
EQUATIONS:
Original Payroll: 80x + 85y = 1225
Adjusted Payroll: 80(1.5)x + 85(0.8)y = 1540
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80x + 85y = 1225
120x + 68y = 1540
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I used the Ti Matrix function to get:
x = 10 (original # of $80 workers)
y = 5 (original # of $85 workers)
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Cheers,
Stan H.
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