Tickets to a baseball 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

Question

Tickets to a baseball 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

GPT-4o mini · Answer

Let's define the variable: - Let $ p $ represent the regular price of each ticket. According to the problem, tickets are on sale for $1.50 off the regular price. Therefore, the sale price of each ticket is: $$ p - 1.50 $$ Dea buys 6 tickets, and the total cost for these tickets is $51. We can set up the following equation based on the information provided: $$ 6(p - 1.50) = 51 $$ Now, we can solve the equation step by step. 1. Distribute the 6: $$ 6p - 9 = 51 $$ 2. Add 9 to both sides to isolate the term with $ p $: $$ 6p = 51 + 9 $$ $$ 6p = 60 $$ 3. Divide both sides by 6 to solve for $ p $: $$ p = \frac{60}{6} $$ $$ p = 10 $$ The regular price of each ticket is **$10.00**. **Explanation:** The regular price of each baseball ticket is $10.00, and with a $1.50 discount applied, Dea was able to purchase 6 tickets for a total of $51.