1.

The school that Chelsea goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 3 adult tickets and 13 student tickets for a total of $82. The school took in $142 on the second day by selling 13 adult tickets and 3 student tickets. find the price of an adult ticket and the price of a student ticket?

Answer»

\: \: \: \: \: \: \: \: \: \:\huge{\underline{\sf{\red{Solution}}}}

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  • Let the price of adult ticket be x.
  • Let the price of student ticket be y.

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On the FIRST day

→ EQUATION = 3x + 13y = 82⠀⠀...[1]

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On the second day

→ Equation = 13X + 3y = 142⠀⠀...[2]

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\: \: \: \: \: \: \: \: \tiny\dag{\underline{\bf\: \: \: {Solving\: [1]\: and\: [2] }}}

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We get :-

  • x = 10
  • y = 4

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Note (✓) :- Explanation is in attachment.

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Hence,

  • Price of a adult ticket is Rs.10
  • Price of a student ticket is Rs.4

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