Question

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.

Answer 1

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.