Kathy stood on the middle rung of a ladder. she climbed up 44 rungs, moved down 33 rungs, and then climbed up 99 rungs. then she climbed up the remaining 33 rungs to the top of the ladder. how many rungs are there in the whole ladder?

Solution:

we are given that

Kathy stood on the middle rung of a ladder.

Since she climbed up 44 ​rungs, moved down 33 ​rungs...total up move of 44-33=11 rungs

Then climbed up 99 rungs. so a total of 11+99=110 rungs up.

Then she climbed up the remaining 33 rungs to the top of the ladder so total up move by 110+33=143 rungs

Since Kathy stood on the middle rung of a ladder so number of rungs=143x2=186

Now add the middle rungs.

Total number of rungs in the whole ladder=186+1=187