Answer:
There are 19 rungs in the ladder.
Step-by-step explanation:
If Kathy climbed 2 rungs (+2), moved down 3 rungs (-3), climbed up 7 rungs (+7) and climbed up 3 more rungs (+3), the total rungs she climbed up was
2 - 3 + 7 + 3 = 9
She was standing on the middle rung of the ladder so now we know that she had another 9 rungs below her and the total amount of rungs are:
Rungs below here + rung she was standing on + rungs above her
9 + 1 + 9 = 19
The ladder has 19 rungs.
You can model the situation by taking up as +1, and down as -1.
The number of rungs in the specified ladder is 19
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 + 2 - 3 + 7 + 3 = Middle + 9
Thus, there are 9 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=9
Thus, there are total 2p + 1 = [tex]2 \times 9 + 1 = 19[/tex] rungs.
Thus,
The number of rungs in the specified ladder is 19
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