A bicycle store costs $2700 per month to operate. The store pays an average of $45 per bike. The average selling price of each b

Question

3 years ago

9

A bicycle store costs $2700 per month to operate. The store pays an average of $45 per bike. The average selling price of each b

icycle is $105. How many bicycles
must the store sell each month to break even?
The store must sell bicycles each month to break even.
(Type a whole number.)

Mathematics

1 answer:

Shtirlitz [24] · Answer 1 · 2022-03-12T22:10:28+03:00

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

$2700+45n=105n\\2700=105n-45n\\2700=60n\\60n=2700$

Dividing both sides by 60

$\frac{60n}{60}=\frac{2700}{60}\\n=45$

The store must sell 45 bicycles each month to break even.

Keywords: linear expression, division

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