Question

If someone can please help me out with my math, I would greatly appreciate it.

Answer 1

The number of tickets they need to sell is
`n=(p)/((d-c))`

Explanation:

The formula is p = n(d - c), where

• P is the total profit made from the event
• n is the number tickets sold
• d is the price charged for each dinner
• c is the cost of food per plate

To find the number of tickets they need to sell separate n in one side and the other variables p, d and c in the other side

p = n(d - c)

n is multiplied by the difference of d and c, so lets divide both sides by the difference of d and c

`(p)/((d-c))=(n(d-c))/((d-c))`

Cancel (D_C) up with (d - c) down in the right hand side

`(p)/((d-c))=n`

Switch the two side

`n=(p)/((d-c))`

The number of tickets they need to sell is
`n=(p)/((d-c))`