Three adult and three child movie tickets were purchased for $75. The cost of each child ticket is $3 less than the cost of an adult ticket. Find the price of each ticket.(
Let's assume the cost of an adult ticket is x.
So the cost of a child ticket is x - $3.
The total cost of the three adult tickets is 3x.
The total cost of the three child tickets is 3(x - $3) = 3x - $9.
The total cost of all six tickets is 3x + 3x - $9 = $6x - $9.
Since the total cost of all six tickets is $75, we have:
$6x - $9 = $75.
Adding $9 to both sides of the equation, we get:
$6x = $84.
Dividing both sides of the equation by 6, we get:
x = $14.
Therefore, the cost of an adult ticket is $14.
And the cost of a child ticket is $14 - $3 = $11. Answer: \boxed{14, 11}.
Let's assume the cost of an adult ticket is "x" dollars.
According to the given information, the cost of a child ticket is $3 less than the cost of an adult ticket. Therefore, the cost of a child ticket is "x - 3" dollars.
Since three adult tickets were purchased, the total cost of adult tickets is 3 * x = 3x dollars.
Similarly, since three child tickets were purchased, the total cost of child tickets is 3 * (x - 3) = 3x - 9 dollars.
The total cost of all tickets is $75. Therefore, we have the equation:
3x + 3x - 9 = 75.
Combining like terms, we get:
6x - 9 = 75.
Adding 9 to both sides, we get:
6x = 84.
Dividing both sides by 6, we get:
x = 14.
Hence, the cost of an adult ticket is $14.
Substituting this value back, we can find the cost of a child ticket:
x - 3 = 14 - 3 = 11.
Therefore, the price of each adult ticket is $14 and the price of each child ticket is $11.
To find the price of each ticket, we can set up a system of equations based on the given information.
Let's denote the cost of an adult ticket as "x" dollars.
According to the problem, the cost of each child ticket is $3 less than the cost of an adult ticket. Therefore, the cost of a child ticket is (x - $3) dollars.
We are told that three adult and three child movie tickets were purchased for a total of $75. So, the equation becomes:
3x + 3(x - $3) = $75
Let's solve this equation to find the value of "x" and then substitute it back to find the price of each ticket.