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)
A. an adult ticket is $12.50 and a child ticket is $9.50
B. an adult ticket is $8 and a child ticket is $5
C. an adult ticket is $14 and a child ticket is $11
D. an adult ticket is $11 and a child ticket is $8
Let x be the cost of an adult ticket.
Then the cost of a child ticket is (x - $3).
Three adult tickets would cost 3x.
Three child tickets would cost 3(x - $3).
Given that the total cost is $75:
3x + 3(x - $3) = $75
3x + 3x - $9 = $75
6x - $9 = $75
6x = $84
x = $14
Therefore, the cost of an adult ticket is $14 and the cost of a child ticket is $11.
C. an adult ticket is $14 and a child ticket is $11