The store must sell 40 bikes each month to break even.
Step-by-step explanation:
Given,
Operating cost of store = $2400
Average paid per bike = $60
Average selling price of one bike = $120
Let,
x be the number of bicycle.
Therefore, to break even
Total operating costs per month = Total bikes sold each month
2400+60x = 120x
Subtracting 60x from both sides
[tex]2400+60x-60x=120x-60x\\2400=60x\\60x=2400\\[/tex]
Dividing both sides by 60
[tex]\frac{60x}{60}=\frac{2400}{60}\\x=40[/tex]
The store must sell 40 bikes each month to break even.
Keywords: linear equation, subtraction
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