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. Then write a sentence to explain your answer.

Answer 1

Let's say the regular price of each ticket is p dollars. The discounted price is p - $1.50.
Dea buys 6 tickets, so the total cost is 6 times the discounted price: 6(p - $1.50).
According to the problem, this total cost is $51, so we can write the equation as follows:
6(p - $1.50) = $51.
Simplifying the left side of the equation, we get 6p - $9 = $51.
Adding $9 to both sides, we have 6p = $60.
Finally, we divide both sides by 6: p = $10.
Therefore, the regular price of each ticket is $10.