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.

Answer 1

Let's assume the cost of each adult ticket is $x.

According to the given information, the cost of each child ticket is $x - $3.

The total cost of three adult tickets is 3 * x = $3x.

The total cost of 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 can equate this to the expression above and solve for x:

$6x - $9 = $75.

Adding $9 to both sides, we have:

$6x = $84.

Dividing both sides by 6, we get:

x = $14.

Therefore, the cost of each adult ticket is $14.

The cost of each child ticket is $14 - $3 = $11.

So, the price of each ticket is $14 for adults and $11 for children.