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 in 2 or 3 sentences
Let's assume the regular price of each ticket is p dollars. Since each ticket is on sale for $1.50 off the regular price, the discounted price of each ticket is (p - $1.50) dollars. Dea buys 6 tickets, so her total cost would be 6 times the discounted price of each ticket, which is 6(p - $1.50). We are given that her total cost is $51, so we can write the equation 6(p - $1.50) = $51. To solve for p, we can simplify the equation and divide both sides by 6. We get p - $1.50 = $8.50, and isolating p gives p = $8.50 + $1.50 = $10. Therefore, the regular price of each ticket is $10.
can you shorten it
Sure! The regular price of each ticket is p dollars. Since each ticket is on sale for $1.50 off, the discounted price is (p - $1.50) dollars. Dea buys 6 tickets, so her total cost is 6 times the discounted price, which is 6(p - $1.50). Given that her total cost is $51, we can write the equation 6(p - $1.50) = $51. Simplifying and solving, we find that the regular price of each ticket is $10.
