So what we have to do to solve this problem is to write down those values in 2 equations (one that represents what you sold and the other what your friend sold) compare them and find how much each ticket is worth. First equation : 11x + 8y = 158 Where x = how much each adult ticket is and y = how much each student ticket is
The second equation is : 5x + 17y = 152
Using the method of substitution , we can compare each equation side by side: 11x + 8y = 158 5x + 17y = 152 Now we need to set one of the variables of both equations so they are equal: 11(5)x + 8(5) = 158(5) 5(11)x + 17(11)x = 152(11)
55x + 40y = 790 55x + 187y = 1672
Then we subtract the second equation by the first one
55x-55x + 187y - 40y = 1672 - 790 147y = 882 y = 6 The we apply y to one of the equations to discover x : 11x + 8y = 158 11x + 8(6) = 158 11x + 48 = 158 11x = 110 x = 10
So the awnser is : Each adult ticket (x) is $10 And each student ticket (y) is $8 I hope you understood my explanation,
