SOLUTION: 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

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Question 154382This question is from textbook
: 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?
I have these formulas but can't seem to figure the solution out.
80x + 85 y = 1225
80((1+50%)x) + 85 ((1-1/5)y)=1540
Please help
This question is from textbook

Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
80%28%281.5%29x%29+%2B+85+%28%280.8%29y%29=1540
120x+%2B+68y+=1540
80x+%2B+85+y+=+1225
80x+=+1225+-+85y multiply both sides by 1.5
120x+=+1837.5+-+127.5y substitute back into the equation above
120x+%2B+68y+=1540
%281837.5+-+127.5y%29+%2B+68y+=1540
-59.5y+=+-297.5
y+=+5
Now find x
80x+%2B+85+y+=+1225
80x+%2B+85%2A5+=+1225
80x+%2B425+=+1225
80x+=+800
x+=+10