Let's start solving the problem step by step.
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Define the variables: Let \( p \) represent the regular price of each ticket.
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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: \[ 6(p - 1.50) = 51 \]
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Distribute and simplify the equation: First, we distribute the 6: \[ 6p - 9 = 51 \]
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Add 9 to both sides: Now, we add 9 to both sides to isolate the term with \( p \): \[ 6p = 60 \]
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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.