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?
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
