You buy 12 tickets and the total is $120. a student ticket is $9 and an adult ticket is $12. how many student tickets did you bu y
1 answer:
4 adult tickets were sold and 8 student tickets were sold. How did I get this? First, let's see what information is given: 12 tickets sold (S)tudent ticket = $9 (A)dult ticket = $12 Total cost = $120 So, we know student tickets plus adult tickets total up to $12. We can create an equation out of this: S + A = 12 And we know $9S + $12A = $120 The variables represent the amount of tickets sold, which is unknown. A = 12 - S , substitute this into the second equation. 9s + 12(12-s) = 120 Distribute the 12 into the parenthesis. 9s + 144 - 12s = 120 Combine like terms -3s + 144 = 120 Subtract both sides by 144, left side cancels out. -3s = -24 s = -24/-3 s = 8 So, 8 student tickets were sold. Plug the value of s into our first equation. A = 12 - 8 A = 4 (adult tickets)
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