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12. tomas bought 80 tickets for rides at an amusement park. each ride c…

Question

  1. tomas bought 80 tickets for rides at an amusement park. each ride costs 5 tickets, and tomas has been on x rides so far. which expression is equivalent to the number of tickets that tomas has left? select all that apply. 80 - 5x 80 + 5x 5(16 - x) -5x + 80 5(16 + x)

Explanation:

Step1: Find tickets used

Each ride costs 5 tickets, and Tomas has been on \( x \) rides. So tickets used: \( 5x \).

Step2: Find tickets left (first expression)

Total tickets: 80. Tickets left = Total - Used = \( 80 - 5x \). Also, \( 80 - 5x = -5x + 80 \) (commutative property of addition).

Step3: Simplify \( 80 - 5x \) (factoring)

Factor out 5: \( 80 - 5x = 5(16 - x) \) (since \( 80 \div 5 = 16 \)).

Step4: Eliminate wrong options

\( 80 + 5x \) adds used tickets, wrong. \( 5(16 + x) = 80 + 5x \), wrong.

Answer:

A. \( 80 - 5x \), C. \( 5(16 - x) \), D. \( -5x + 80 \)