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.
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Distribute the 6: \[ 6p - 9 = 51 \]
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Add 9 to both sides to isolate the term with \( p \): \[ 6p = 51 + 9 \] \[ 6p = 60 \]
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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.