Let's assume that the regular price of each ticket is 'p' dollars.
Since Dea bought 6 tickets, her total cost would be 6p dollars.
According to the given information, the tickets are on sale for $1.50 off, therefore the discounted price of each ticket would be (p - $1.50).
Hence, Dea's total cost can be expressed as follows:
6(p - $1.50) = $51.
To solve this equation:
6p - 9 = $51.
Adding 9 to both sides:
6p = $60.
Dividing both sides by 6:
p = $10.
Therefore, the regular price of each ticket is $10.
Sentence to explain the answer: The regular price of each ticket is $10 because when the tickets are on sale for $1.50 off, Dea's total cost is $51 for purchasing 6 tickets.
can you rewrite this like a 12 year old but keep it formal
Let's pretend that each ticket costs 'p' dollars. Dea bought 6 tickets, so her total cost is 6p dollars. The tickets are on sale for 1.50 dollars off, so each ticket costs p - 1.50 dollars. If we put all this information together, Dea's total cost is 6 times (p - 1.50) dollars, which equals 51 dollars. To find the regular price of each ticket, we can solve the equation 6p - 9 = 51. After adding 9 to both sides, we get 6p = 60. Dividing both sides by 6, we find that p equals 10 dollars. So, each ticket's regular price is 10 dollars.
In simpler words, each ticket usually costs 10 dollars. But since they were on sale for 1.50 dollars off, Dea paid 51 dollars for 6 tickets.