Here is one of the questions on my Homework.
A department store is planning to hire up to 24 temporary employees for a tent sale. Experienced workers will be paid $20 per hour and inexperienced workers $15 per hour. The company can pay up to $400 per hour for the temporary employees. An experienced worker produces 1.5 times the profit of an inexperienced worker. How many of each type should be hired?
x = experienced workers
y= inexpereinced workers
x+y=24
solve for either x or y, i’ll do x
x=24-y
set up another equation now
y($15) + (24-y)($20)=$400
distribute
15y + 480 -20y =400
solve for y
-5y = – 80
5y = 80
y=16
now you know they need 16 inexperienced workers
to get experienced workers plug 16 into the equation you created earlier
x = 24 -y
so
x=24-16
x=8
they need 8 experienced workers
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