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Tickets to the baseball game are on sale for $1.50 off the regular price. Dea buys 6 tickets. If her total cost is $51, what is the regular price of each ticket? Write and solve an equation of the form p(x±q)=r

. Then write a sentence to explain your answer.(4 points) make it like one sentence

3 answers

Let \( p \) represent the regular price of each ticket. The discounted price of each ticket is \( p - 1.50 \). Since Dea buys 6 tickets for a total cost of $51, we can set up the equation:

\[ 6(p - 1.50) = 51 \]

Now, let's solve the equation:

  1. Distribute 6: \[ 6p - 9 = 51 \]

  2. Add 9 to both sides: \[ 6p = 60 \]

  3. Divide both sides by 6: \[ p = 10 \]

Thus, the regular price of each ticket is $10.

In conclusion, the regular price of each ticket is $10, which indicates that with the discount applied, Dea was able to purchase 6 tickets for a total of $51.

no one sentence

The regular price of each ticket is $10, meaning that with the $1.50 discount, Dea paid $51 for 6 tickets.