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. (1 point)
an adult ticket is $12.50 and a child ticket is $9.50
an adult ticket is $8 and a child ticket is $5
an adult ticket is $11 and a child ticket is $8
an adult ticket is $14 and a child ticket is $11
Let the cost of an adult ticket be $x.
According to the problem, the cost of a child ticket is $3 less than the cost of an adult ticket, so it would be $(x - $3).
The total cost of three adult tickets would be 3x.
The total cost of three child tickets would be 3(x - $3), which can be simplified to 3x - $9.
According to the problem, the total cost of all the tickets is $75, so we can set up 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
So, the cost of an adult ticket is $14, and the cost of a child ticket would be $(14 - $3) = $11.
Therefore, the answer is:
an adult ticket is $14 and a child ticket is $11.