Answer: it will need 40 cups of lemonade to break even
Explanation:
Break even represents the point at which there is neither profit nor loss.
It costs serine $30 to start a lemonade stand plus $0.50 per cup of lemonade. Assuming that she made x cups of lemonade, the total cost of making x cups would be
30 + 0.5x
She sells each cup of the lemonade for $1.25 . Assuming that she sold x cups of lemonade, therefore, the total amount would be 1.25×x = 1.25x
To break even,
30 + 0.5x = 1.25x
1.25x - 0.5x = 30
0.75x = 30
x = 30/0.75
x = 40