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 169574This question is from textbook Introductory Algebra
: 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 one-fifth, the new daily payroll is $1540. How many were originally employed at each rate? This question is from textbook Introductory Algebra
You can put this solution on YOUR website! lets call x and y the number of workers paid 80 and 85 dollars respecitively
:
80x+85y=1225...eq 1
:
80(x=.5x)+85(y-1/5y)=1540---->
120x+68y=1540....eq 2
:
multiply eq 1 by 3 and eq 2 by -2 to eliminate the x terms
:
255y=3675
-136y=-3080
_____________
119y=595
: 85 dollar workers
:
plug y's value into eq 1 or 2...I chose eq 1
:
80x+85(5)=1540
80x=800
: 80 dollar workers
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