SOLUTION: A lunch caterer left the cafeteria in a large, multi-story office building, went up 2 floors to deliver pizza, then went down 4 floors to deliver the sub sandwiches, then proceeded

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Question 1030642: A lunch caterer left the cafeteria in a large, multi-story office building, went up 2 floors to deliver pizza, then went down 4 floors to deliver the sub sandwiches, then proceeded up 7 floors to drop off the salads, then went down 3 floors to deliver the tacos, then traveled up 5 floors to fill the food order for sandwiches, and finally went down 10 floors to the first floor to deliver the diet lunch. On what floor number is the cafeteria located?
Answer: 4th floor. (How?)

Answer by jorel555(1290) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the cafeteria floor. The elevators final resting spot is on the first floor, which we represent as floor 1.
X+2-4+7-3+5-10=1
X = 1-2+4-7+3-5+10
X=4
Checking our work, let's follow the elevator's trip:
4th floor to 6th, down to 2nd,up to 9th,down to 6th, up to 11th, back down to the first floor, where all this started.!!!!!!!