The up and down movements illustrate arithmetic operations.
The number of rungs on the ladder is 16.
Let the middle be x, and the position be y
When you climb 3 rungs up, we have
[tex]\mathbf{y = x + 3}[/tex]
When you climb 5 rungs down, we have
[tex]\mathbf{y = x + 3 - 5}[/tex]
[tex]\mathbf{y = x -2}[/tex]
10 rungs up means that:
[tex]\mathbf{y = x -2 + 10}[/tex]
[tex]\mathbf{y = x +8}[/tex]
Subtract x from both sides
[tex]\mathbf{y - x =8}[/tex]
The above mean that, the number of rungs from the middle to the top is 8
To get the number of rungs, we simply multiply the equation by 2
[tex]\mathbf{Rungs =8 \times 2}[/tex]
[tex]\mathbf{Rungs =16}[/tex]
Hence, there are 16 rungs on the ladder
Read more about arithmetic operations at:
https://brainly.com/question/15385899
