For a fundraising activity, the student council rented a popcorn machine for $5o per day. They plan to sell the popcorn for $1.50 per bag. It costs $0.50 to produce one bag of popcorn. What is the least number of bags of popcorn they must sell in order to make a profit?

Let us assume the number of bags of popcorn the student Council must sell to break even = x

Then

50 + 0.50x = 1.50 x

1.50x - 0.50x = 50

x (1.50 - 0.50) = 50

x = 50

So by selling 50 bags of popcorn the cost price will be equal to the selling price. From the above deduction we understand that the student council has to sell at least 51 bags of popcorn per day to make a profit.