at the movies a discount ticket sells for $5 dollars off the normal price. if four discount tickets and three full price tickets cost $92, how much does each type of ticket cost?

Question

pls help :(

Answer 1

Let "x" represent the full (regular) price of a ticket (in $'s). Then (x - 5) would be the cost of a discount ticket.

So four discount tickets would be 4(x - 5) and three full price tickets would be 3x.

4(x - 5) + 3x = 92

4x - 20 + 3x = 92

7x - 20 = 92

7x = 112

x = 16

So the regular (full) price is $16 and the discount price is $11