Question

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.
RESPONSES, FOR THE LOVE OF GOD THE LORD AND SAVIOR CHRIST USE THEM
an adult ticket is $8 and a child ticket is $5
an adult ticket is $14 and a child ticket is $11
an adult ticket is $11 and a child ticket is $8
an adult ticket is $12.50 and a child ticket is $9.50

Answer 1

Let's assume the cost of an adult ticket is x dollars.

According to the given information, the cost of each child ticket is $3 less than the cost of an adult ticket. So, the cost of a child ticket would be (x - $3) dollars.

Now, we can set up the equation based on the total cost of the tickets:
3x + 3(x - $3) = $75

Simplifying the equation:
3x + 3x - $9 = $75
6x = $75 + $9
6x = $84

Dividing both sides of the equation by 6:
x = $84/6
x = $14

So, the cost of an adult ticket is $14.
And the cost of a child ticket is $14 - $3 = $11.

Therefore, the correct answer is:
an adult ticket is $14 and a child ticket is $11.