Tickets to the baseball game are on sale for 51.50 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 (z: t q) = r. Then write a sentence to explain your answer.
Let's assume the regular price of each ticket is p dollars.
If the tickets are on sale for $51.50 off the regular price, the discounted price for each ticket is p - $51.50.
Since Dea buys 6 tickets, her total cost is 6 times the discounted price, 6(p - $51.50).
According to the problem, her total cost is $51.
So, we can write the equation:
6(p - $51.50) = $51
To solve the equation, we will distribute 6 to p and $51.50.
6p - 6($51.50) = $51
6p - $309 = $51
Next, we will isolate the variable by adding $309 on both sides of the equation.
6p - $309 + $309 = $51 + $309
6p = $360
Finally, to find the regular price of each ticket, we divide both sides of the equation by 6.
p = $360 / 6
p = $60
Therefore, the regular price of each ticket is $60.
Explanation: To find the regular price of each ticket, we first set up an equation using the variables given in the problem. We then rearranged the equation to isolate the variable p representing the regular price of each ticket. By dividing both sides of the equation by 6, we found that the regular price of each ticket is $60.