Members of a school social service group hold a spaghetti dinner to raise money for orphan children. They must sell tickets at a price that will earn them more money than the cost of food.

The formula for this scenario is t = n (p − c) where

t = total profit earned from the event
c = cost of food per plate
n = number of tickets sold
p = price charged for each dinner

Rewrite the equation to determine the number of tickets they need to sell.

Question

Members of a school social service group hold a spaghetti dinner to raise money for orphan children. They must sell tickets at a price that will earn them more money than the cost of food.

 The formula for this scenario is t = n (p − c) where

 t = total profit earned from the event
 c = cost of food per plate
 n = number of tickets sold
 p = price charged for each dinner

 Rewrite the equation to determine the number of tickets they need to sell.

anonymous · Answer

Divide by (p-c) on both sides to get n on its own:
$$\frac{ t }{ p-c } = n$$