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 $8 and a child ticket is $5

an adult ticket is $14 and a child ticket is $11

an adult ticket is $12.50 and a child ticket is $9.50

◎ an adult ticket is $11 and a child ticket is $8

1 answer

Let's assume the price of an adult ticket is $x.

Since each child ticket costs $3 less than an adult ticket, the price of a 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 tickets is $75:
$3x + ($3x - $9) = $75
6x - 9 = 75
6x = 84
x = 14

Therefore, the price of an adult ticket is $14, and the price of a child ticket is $11.

So the answer is "an adult ticket is $14 and a child ticket is $11".