Answer:
The number of tickets they need to sell is [tex]n=\frac{p}{(d-c)}[/tex]
Step-by-step 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
[tex]\frac{p}{(d-c)}=\frac{n(d-c)}{(d-c)}[/tex]
Cancel (D_C) up with (d - c) down in the right hand side
[tex]\frac{p}{(d-c)}=n[/tex]
Switch the two side
[tex]n=\frac{p}{(d-c)}[/tex]
The number of tickets they need to sell is [tex]n=\frac{p}{(d-c)}[/tex]
