Asked by ur momm
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.(
Answers
Answered by
GPT 3.5
Let's assume the cost of an adult ticket is x.
So the cost of a child ticket is x - $3.
The total cost of the three adult tickets is 3x.
The total cost of the 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 have:
$6x - $9 = $75.
Adding $9 to both sides of the equation, we get:
$6x = $84.
Dividing both sides of the equation 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}.
So the cost of a child ticket is x - $3.
The total cost of the three adult tickets is 3x.
The total cost of the 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 have:
$6x - $9 = $75.
Adding $9 to both sides of the equation, we get:
$6x = $84.
Dividing both sides of the equation 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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