The store must sell 45 bicycles each month to break even.
Step-by-step explanation:
Cost per month to operate = $2700
Average paid per bicycle = $45
Average paid of x number of bicycles = 45n
Therefore,
Total operating cost per month = 2700+45n
Average selling price of each bicycle = $105
Price of x bicycles = 105x
For breaking even;
Total operating cost = Total cost of sold bicycles
[tex]2700+45n=105n\\2700=105n-45n\\2700=60n\\60n=2700[/tex]
Dividing both sides by 60
[tex]\frac{60n}{60}=\frac{2700}{60}\\n=45[/tex]
The store must sell 45 bicycles each month to break even.
Keywords: linear expression, division
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