Let the regular price of each ticket be represented as \( p \). Given that the tickets are on sale for $1.50 off the regular price, the sale price of each ticket can be expressed as \( p - 1.50 \).
Dea buys 6 tickets at the sale price, and her total cost is $51. We can write the equation as follows:
\[ 6(p - 1.50) = 51 \]
Now, let's 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 \( p \): \[ p = \frac{60}{6} \] \[ p = 10 \]
Thus, the regular price of each ticket is $10.
Explanation:
The regular price of each ticket is $10. When Dea buys 6 tickets at the discounted price of $8.50 (which is $10 minus $1.50), her total cost amounts to $51.
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