A bicycle store costs $3600 per month to operate. The store pays an average of $35 per bike. The average selling price of each bicycle is ​$155. How many bicycles must the store sell each month to break​ even?

Let's assume that the store needs to sell x bicycles to break even.

The total cost of operating the store is $3600 per month, and the average cost per bicycle sold is $35. Therefore, the total cost of the bicycles sold is 35x.

The average selling price of each bicycle is $155, so the total revenue from selling x bicycles is 155x.

To break even, the total cost of operating the store (3600) should be equal to the total revenue from selling the bikes (155x).

So we can write the equation as 3600 = 155x.

To solve for x, divide both sides of the equation by 155: x = 3600/155.

Using a calculator, we can find that x ≈ 23.23.

Therefore, the store needs to sell approximately 24 bicycles each month to break even.