Question

Tickets to the 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.(4 points) thank u

Answer 1

can u make it short

Answer 2

Let x be the regular price of each ticket. Since there is a $1.50 discount, the price of each ticket after the discount is (x-1.50).

Dea buys 6 tickets, so the total cost can be calculated by multiplying the price of each ticket after the discount by the number of tickets: 6(x-1.50).

According to the problem, the total cost is $51. Therefore, the equation of the form p(x±q)=r can be stated as:

6(x-1.50) = 51

To solve this equation, we can distribute the 6 to the terms inside the parentheses:

6x - 9 = 51

Next, we can isolate the variable by adding 9 to both sides of the equation:

6x = 60

Finally, we can solve for x by dividing both sides of the equation by 6:

x = 10

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

Sentence to explain the answer: The regular price of each ticket is $10, since the total cost of 6 tickets after a $1.50 discount is equal to $51.

Answer 3

Sure! The regular price of each ticket is $10.