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At the movie theatre, child admission is $6.40 and adult admission is $9.50. On Sunday, 165 tickets were sold for a total sales of $1266.80. How many adult tickets were sold that day?

Respuesta :

muhammadolim

Answer:

  • 68

Step-by-step explanation:

1. Define unknowns:

  • x - number of adult tickets ($9.50 each)
  • y - number of child tickets ($6.40 each)

2. Make system of equations:

  • [tex]x+y=165[/tex]
  • [tex]9.5x+6.4y=1266.8[/tex]

3. Multiply both sides of first equation by 6.4:

  • [tex]6.4x+6.4y=1056[/tex]
  • [tex]9.5x+6.4y=1266.8[/tex]

4. Subtract first equation from second one:

  • [tex](9.5x-6.4x)+(6.4y-6.4y)=1266.8-1056[/tex]
  • [tex]3.1x=210.8[/tex]
  • [tex]x=68[/tex]

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