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11 February, 06:16

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.

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  1. 11 February, 07:33
    0
    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.
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