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.

A) an adult ticket is $14 and a child ticket is $11
B) an adult ticket is $12.50 and a child ticket is $9.50
C) an adult ticket is $8 and a child ticket is $5
D) an adult ticket is $11 and a child ticket is $8

1 answer

Let's check each option to see if it fits the given condition.
A) If an adult ticket is $14, then the total cost of three adult tickets would be $14 * 3 = $<<14*3=42>>42. The cost of three child tickets would be $11 * 3 = $<<11*3=33>>33. The total cost would be $42 + $33 = $<<42+33=75>>75. This option fits the given condition.
B) If an adult ticket is $12.50, then the total cost of three adult tickets would be $12.50 * 3 = $<<12.50*3=37.50>>37.50. The cost of three child tickets would be $9.50 * 3 = $<<9.50*3=28.50>>28.50. The total cost would be $37.50 + $28.50 = $<<37.50+28.50=66>>66. This option doesn't fit the given condition.
C) If an adult ticket is $8, then the total cost of three adult tickets would be $8 * 3 = $<<8*3=24>>24. The cost of three child tickets would be $5 * 3 = $<<5*3=15>>15. The total cost would be $24 + $15 = $<<24+15=39>>39. This option doesn't fit the given condition.
D) If an adult ticket is $11, then the total cost of three adult tickets would be $11 * 3 = $<<11*3=33>>33. The cost of three child tickets would be $8 * 3 = $<<8*3=24>>24. The total cost would be $33 + $24 = $<<33+24=57>>57. This option doesn't fit the given condition.

Therefore, the correct answer is A) an adult ticket is $14 and a child ticket is $11.