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 explain but simplified like a lot like a 12-11 y old rot it and it needs to have good Grammer also only in words

3 answers

Let's start solving the problem step by step.

  1. Define the variables: Let \( p \) represent the regular price of each ticket.

  2. Write the equation: Since tickets are on sale for $1.50 off, the sale price of each ticket is \( p - 1.50 \). If Dea buys 6 tickets, her total cost can be written as: \[ 6(p - 1.50) = 51 \]

  3. Distribute and simplify the equation: First, we distribute the 6: \[ 6p - 9 = 51 \]

  4. Add 9 to both sides: Now, we add 9 to both sides to isolate the term with \( p \): \[ 6p = 60 \]

  5. Divide both sides by 6: Finally, we divide both sides by 6 to solve for \( p \): \[ p = 10 \]

Now we found that the regular price of each ticket is $10.

Final explanation: The regular price of each baseball ticket is $10. This is because Dea bought 6 tickets at a special price of $1.50 off, totaling $51. When we figured out the regular price from this information, we learned that without the discount, each ticket would cost $10.

I meant the math in only words but you can use the numbers but make it two sentences

To find the regular price of each baseball ticket, we started with the equation where six times the regular price minus $1.50 equals $51. After solving, we found that the regular price of each ticket is $10.