Tickets to the baseball game are on sale for $2.50 off the regular price. Lincoln bought 6 tickets. If his total cost is $33, what is the regular price of each ticket? Write and solve an equation of the form p(x + q) = r. Then write a sentence to explain your answer
Let p be the regular price of each ticket, x be the number of tickets bought, and q be the discount applied to each ticket.
From the information given, we know that Lincoln bought 6 tickets and his total cost is $33. Therefore, we can write the equation as:
p(x + q) = r
p(6 + q) = 33
Since each ticket is on sale for $2.50 off the regular price, q = -2.50. Substituting this into the equation, we have:
p(6 - 2.50) = 33
p(3.50) = 33
3.50p = 33
Dividing both sides by 3.50, we find that the regular price of each ticket, p, is:
p = 33 / 3.50
p = 9.4286 (rounded to 4 decimal places)
p ≈ $9.43
Therefore, the regular price of each ticket is approximately $9.43.