Let's denote the regular price of each ticket as \( p \).
Given that the tickets are on sale for $1.50 off the regular price, the sale price of each ticket would be:
\[ p - 1.50 \]
Since Dea buys 6 tickets, the total cost for the tickets can be represented as:
\[ 6(p - 1.50) \]
According to the information given, her total cost is $51. Therefore, we can set up the following equation:
\[ 6(p - 1.50) = 51 \]
Now, let's solve the equation step by step.
- Distribute the 6 on the left side:
\[ 6p - 9 = 51 \]
- Next, add 9 to both sides of the equation:
\[ 6p = 51 + 9 \]
\[ 6p = 60 \]
- Now, divide both sides by 6 to find \( p \):
\[ p = \frac{60}{6} = 10 \]
Thus, the regular price of each ticket is \( \boxed{10} \).