Question 1007826
Let the prices of senior and student tickets be x and y.  Then we have
10x + 3y = 57  and
5x + 11y = 114
Now multiply this second equation by two and subtract from the first and we get
10x + 3y = 57
-(10x + 22y = 228)
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-19y = - 171
y = 9 dollar student tickets
Substituting back into the first equation gives
10x + 3(9) = 57
10x + 27 = 57
10x = 30
x = 3 dollar senior tix