kathy stood on the middle rung of a ladder. she climbed up 3 rings, moved down 5 rings, and then climbed up 7 rungs. then she climbed up the remaining 2 rungs to the top of the ladder. how many rungs are there in the whole ladder?

Since it is given that Kathy is standing on the middle rung, let there are p rungs down the currently used rung, and there are equal p rungs up the currently used rung, then there are total p + 1 + p = 2p + 1 rungs

Now, let climbing up one rung means +1 rung and climbing down 1 rung means -1, then we have:

Top = Middle + 3 - 5 + 7 + 2 = Middle + 7

Thus, there are 7 rungs after middle rung. But we had assumed there are p rungs on either side of the middle rung on which Kathy was standing initially in the problem, thus, we have

p=7

Thus, there are total 2p + 1 = 2(7)+1

= 15 rungs.

Thus,

The number of rungs in the specified ladder is 15.

Learn more about finding value of unknown variable here:

brainly.com/question/8564982

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kathy stood on the middle rung of a ladder. she climbed up 3 ​rings, moved down 5 ​rings, and then climbed up 7 rungs. then she climbed up the remaining 2 rungs to the top of the ladder. how many rungs are there in the whole​ ladder?

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kathy stood on the middle rung of a ladder. she climbed up 3 rings, moved down 5 rings, and then climbed up 7 rungs. then she climbed up the remaining 2 rungs to the top of the ladder. how many rungs are there in the whole ladder?