# SOLUTION: A ticket on the roller coaster is priced differently for adults and children. One day there were 5 adults and 8 children in a group and the cost of their tickets was 48.50. Another

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A ticket on the roller coaster is priced differently for adults and children. One day there were 5 adults and 8 children in a group and the cost of their tickets was 48.50. Another      Log On

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 Click here to see ALL problems on Linear Equations And Systems Word Problems Question 275313: A ticket on the roller coaster is priced differently for adults and children. One day there were 5 adults and 8 children in a group and the cost of their tickets was 48.50. Another group of 4 adults and 12 children paid 57. What is the price of each type of ticket? I tried to do 9a+20c=105.5 a+c=29Answer by Greenfinch(383)   (Show Source): You can put this solution on YOUR website!Let adult cost be A and childrens' cost be C Then 5A + 8C = 4850 and 4A + 12C = 5700 Multiply 1 by 3 and 2 by 2 15A + 24C = 14550 8A + 24C = 11400 so, subtracting 7A = 3150 A = 450 or \$4.50 Substituting in 1 5 x 450 + 8C = 4850 2250 +8C = 4850 8C = 2600 C = 325 So Adult tickets cost \$4.50 and Childrens' tickets cost £3.25