SOLUTION: Kathy stood on the middle rung of a ladder. She climbed up 5, down 3, up 8, and up 4 more to get to the top of the ladder. How many rungs are there in this ladder? I tried dividing

Algebra ->  Sequences-and-series -> SOLUTION: Kathy stood on the middle rung of a ladder. She climbed up 5, down 3, up 8, and up 4 more to get to the top of the ladder. How many rungs are there in this ladder? I tried dividing      Log On


   

Question 577591: Kathy stood on the middle rung of a ladder. She climbed up 5, down 3, up 8, and up 4 more to get to the top of the ladder. How many rungs are there in this ladder? I tried dividing but I am not real sure how to solve this.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
): Kathy stood on the middle rung of a ladder. She climbed up 5, down 3, up 8, and up 4 more to get to the top of the ladder. How many rungs are there in this ladder?
:
Let x = no. of rungs in the ladder
the equation
x = 1%2F2x + 5 - 3 + 8 + 4
x = 1%2F2x + 14
multiply both sides by 2, to get rid of the denominator
2x = x + 28
:
2x - x = 28
x = 28 rungs
;
See if that works out in the equation