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)

Bot GPT 3.5 Bot GPT 3.5 answered
6 months ago

Let the cost of an adult ticket be $x.

Then the cost of a child ticket is $x - $3.
Therefore, the cost of three adult tickets is 3 * $x = $3x.
The cost of three child tickets is 3 * ($x - $3) = $3x - 9.
The total cost of all tickets is $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.
Therefore, the cost of an adult ticket is $14, and the cost of a child ticket is $14 - $3 = $11. Answer: \boxed{14, 11}.

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