Problema Solution

On opening night of a play 976 tickets were sold. Total recipts were $8,480. Children's tickets were $8.00 a piece, adult tickets were $11.00 and senior citizens costs $5.00 a piece. If the combined number of children and adult tickets exceeded twice the number of senior citizen tickets by 187, determine how many tickets of each type were sold.

Children__ Adults__ Senior Citizens__

Answer provided by our tutors

Children_226_     Adults_487_     Senior Citizens_263_

 

Solution:Set the number of Ticket for Children is "X", for Adult is "Y", For Senior is "Z"

                X + Y + Z = 976

                X x 8 + Y x 11 + Z x 5 =8480

               (X + Y) - 187 = 2 x Z

Then the answers are X = 226  Y = 487   Z = 263