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

Question

Each year members of the school athletic department hold a fish fry to raise money for the program. They must sell tickets to the event at a price that will earn them more money than the cost of food.

Here's a formula for this scenario:

p= n(d-c)

p= total profit made from the event 

n= number of tickets sold

d= price charged for each dinner

c= cost for food per plate

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

Answer 1

Given: p = n(d - c)

The problem asks to rewrite the equation to solve for the number of tickets sold, which is represented by the variable 'n'. This means one must isolate 'n' in the above equation to find the answer.

Step One: Divide each side of the equation by 'n'. DO NOT make your problem more complicated by distributing the 'n' into the (d - c).

p/n = d - c

Step Two: Now multiply each side of the equation by 1/p, or divide both sides by 'p'. Both operations are one in the same.

n = (d - c) / p