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tickets to the fair cost $6 for children and 11$ for adults. On wednesday 158 people enter the fair and they collected $1308. What number of children and what number of adults attended?

Respuesta :

Answer:

Children = 86 tickets;  Adult = 72 tickets

Step-by-step explanation:

x = children tickets

y = adult tickets

    x + y = 158     Solve for y and substitute in value of into the second equation.

   

     y = 158 - x    

$6x + $11y = 1308

 6x + 11(158 - x) = 1308

 6x + 1738 - 11x = 1308

  -5x + 1738 =  1308

          - 1738 = -1738    

    -5x            =  -430

               x    = -430/-5

               x    =  86      Children tickets

      y = 158 - x

      y = 158 - 86

      y = 72            Adult tickets

   

 Check: Adult + Children

                72 + 86  = 158 √          72(11) + 86(6) = $792 + $516 = $1308√

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