A bicycle store costs $4000 per month to operate. The store pays an average of $35 per bike. The average selling price of each bicycle is ​$85. How many bicycles must the store sell each month to break​ even?

Question

​
(Type a whole number)

Answer 1

Let's assume the store must sell "x" bicycles each month to break even.

The total cost of operating the store is $4000.
The cost of each bike sold is $35.
Hence, the cost of "x" bikes sold is 35x.

The store earns $85 for each bike sold.
Hence, the revenue from "x" bikes sold is 85x.

To break even, the revenue must equal the cost:
85x = 4000 + 35x.

Combining like terms, we have:
50x = 4000.

Dividing both sides of the equation by 50:
x = 80.

Therefore, the store must sell 80 bicycles each month to break even.