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based on average ticket prices, it cost a total of $1099 to buy eight tickets for cirque de soleil and three tickets for Coldplay. four tickets for cirque de soleil and five tickets for Coldplay cost $833. How much did an average ticket cost for each tour?

Respuesta :

Set up a system of equations:
C = cost of a cirque de soleil ticket
P = cost of a Coldplay ticket

8C + 3P = 1099
4C + 5P = 833  ----(x -2) ---> -8C - 10P = -1666
                                               8C + 3P = 1099
                                               --------------------- (add the equations)
                                                       -7P = -567
                                                          P = 81         (divide both sides by -7)
C = 107 after substituting the value for P in one of the equations
To get the average cost of ticket (107 + 81)/2 = 94
but individual ticket prices are $107 for Cirque de Soleil and $81 for Coldplay

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