Taryn is taking a group of students and adults to the local zoo. As advertised, the cost of an adult ticket, y, is at least 50% higher than the cost of a student ticket, x. Taryn's goal is to spend less than $270. If Taryn plans to purchase 4 adult tickets and 12 student tickets, which of the following is true? 
 A. If student tickets cost $13.00 and adult tickets cost $28.00, the ticket prices are as advertised and Taryn will meet her goal. B. If student tickets cost $14.00 and adult tickets cost $26.00, the ticket prices are as advertised and Taryn will meet her goal. C. If student tickets cost $15.00 and adult tickets cost $22.50, the ticket prices are as advertised and Taryn will meet her goal. D. If student tickets cost $12.00 and adult tickets cost $16.00, the ticket prices are as advertised and Taryn will meet her goal.

Respuesta :

The cost of tickets for adults is:
 y = 1.5x
 The cost of tickets for students is:
 x
 4 adult tickets and 12 student tickets
 (1.5x) * (4) + (x) * (12) <270
 We clear x:
 6x + 12x = 270
 18x = 270
 x = 270/18
 x = 15
 Adults:
 y = 1.5 * (15) = 22.5 $
 Students:
 x = $ 15
 answer:
 If student tickets cost $ 15.00 and adult tickets cost $ 22.50, the ticket prices are as advertised and Taryn will meet his goal.