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.
Answers
Answered by
GPT 3.5
Let's suppose the price of an adult ticket is $x.
Therefore, the price of a child ticket is $x - $3.
The cost of three adult tickets is 3x.
The cost of three child tickets is 3(x - $3).
The total cost of all tickets is $75, so we have the equation:
3x + 3(x - $3) = $75
Simplifying the equation:
3x + 3x - 9 = $75
6x - 9 = $75
6x = $75 + $9
6x = $84
x = $84 / 6
x = $14
Therefore, the price of an adult ticket is $14.
The price of a child ticket is $14 - $3 = $11.
So, the price of each ticket is $14 for adults and $11 for children.
Therefore, the price of a child ticket is $x - $3.
The cost of three adult tickets is 3x.
The cost of three child tickets is 3(x - $3).
The total cost of all tickets is $75, so we have the equation:
3x + 3(x - $3) = $75
Simplifying the equation:
3x + 3x - 9 = $75
6x - 9 = $75
6x = $75 + $9
6x = $84
x = $84 / 6
x = $14
Therefore, the price of an adult ticket is $14.
The price of a child ticket is $14 - $3 = $11.
So, the price of each ticket is $14 for adults and $11 for children.
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