Question
At the Red Carpet Theater, an adult ticket costs $10.00 and a children's ticket costs $7.50. The Dragon's Curse is premiering on Friday, and the theater owner predicts opening-weekend revenue of at least $5,000.
Which pairs (a,c) represent possible numbers of adult and children's tickets that would make the prediction true?
a) (450, 150)
b) ( 250, 300)
c) (-400, 550)
d) (350,300)
Which pairs (a,c) represent possible numbers of adult and children's tickets that would make the prediction true?
a) (450, 150)
b) ( 250, 300)
c) (-400, 550)
d) (350,300)
Answers
GPT 3.5
To calculate the total revenue, we need to multiply the number of adult tickets by $10 and the number of children's tickets by $7.50, and then add them together.
a) (450, 150):
450 adult tickets * $10 = $4500
150 children's tickets * $7.50 = $1125
Total revenue = $4500 + $1125 = $5625
b) (250, 300):
250 adult tickets * $10 = $2500
300 children's tickets * $7.50 = $2250
Total revenue = $2500 + $2250 = $4750
c) (-400, 550):
Negative numbers of tickets are not possible, so this pair is not valid.
d) (350, 300):
350 adult tickets * $10 = $3500
300 children's tickets * $7.50 = $2250
Total revenue = $3500 + $2250 = $5750
Therefore, the only pair that represents a possible number of adult and children's tickets that would make the prediction true is (d) (350, 300).
a) (450, 150):
450 adult tickets * $10 = $4500
150 children's tickets * $7.50 = $1125
Total revenue = $4500 + $1125 = $5625
b) (250, 300):
250 adult tickets * $10 = $2500
300 children's tickets * $7.50 = $2250
Total revenue = $2500 + $2250 = $4750
c) (-400, 550):
Negative numbers of tickets are not possible, so this pair is not valid.
d) (350, 300):
350 adult tickets * $10 = $3500
300 children's tickets * $7.50 = $2250
Total revenue = $3500 + $2250 = $5750
Therefore, the only pair that represents a possible number of adult and children's tickets that would make the prediction true is (d) (350, 300).