Tickets to the basketball game are on sale for $1.50 off the regular price. Dea buys 6 tickets. If her total cost is $51, what is the regular price of each ticket? Write and solve an equation of the form p(x+q)=r. what do the letters stand for in p(x+q)=r

Answer 1

Let's say the regular price of each ticket is 'p'. Since Dea buys 6 tickets, the total cost of the tickets would be 6p.
According to the information given, she gets a discount of $1.50 off the regular price. Therefore, the price of each ticket after the discount would be p - $1.50.
The total cost of the tickets after the discount is $51. So, our equation becomes:

6(p - $1.50) = $51

The letters in the equation p(x+q) = r stand for:
p - the regular price of each ticket
x - the number of tickets bought (in this case, 6)
q - the amount of discount (in this case, $1.50)
r - the total cost of the tickets after the discount (in this case, $51)

Let's solve the equation:

6(p - $1.50) = $51
Dividing both sides by 6:
p - $1.50 = $8.50
Adding $1.50 to both sides:
p = $10

So, the regular price of each ticket is $10.