Kathy stood on the middle rung of a ladder. she climbed up three rungs, moved down five rungs, and then climbed up 7 rungs. then she climbed up the remaining 6 rungs to the top of the ladder. how many rungs are there in the whole ladder?

23 rungs

Step-by-step explanation:

Let the number of rungs on the ladder be h and make the necessary adjustments based on this

Given that she is on the middle rung of a ladder this is equivalent to

= (h + 1)/2

She climbed up three rungs

= (h + 1)/2 + 3

moved down five rungs

= (h + 1)/2 + 3 - 5

and then climbed up 7 rungs

=  (h + 1)/2 + 3 - 5 + 7

Then she climbed up the remaining 6 rungs to the top of the ladder

(h + 1)/2 + 3 - 5 + 7 + 6 = h

(h + 1)/2 + 11 = h

h + 1 + 22 = 2h

2h - h = 23

h = 23

step-by-step explanation: