The LOCK is made up of a series of 6 numbers from the following equations. The input for the lock is "{3rd, 4th, 2nd, 1st, 5th, 6th}". From our inside informant, we know that the answers for the following questions must first be put in order from largest (1st) to smallest (6th) and then entered in the specific pattern above. If an answer is negative, do NOT include it in your lock combination. Luckily there is no security triggers on this LOCK so if you get it wrong you can just start over again. Good luck.

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System of Equations 1: 

The circus is performing locally, the cost for 4 adults and 2 kids is $374, while the cost  for 2 adults and 3 kids is $285. 

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What is the cost of an adult ticket?

What is the cost of a child's ticket?

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System of Equations 2: 

  3x+2y-4z=87 

  -2x-3y+z=-98

  -8x+2y-8z=-82

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What is the value for x, y, and z?

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System of Equations 3: 

  2x-8y=36

  -11x-3y=-57

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