Question

Katya cut part of the jump rope off to make it shorter. The new length is 8 1/6 feet. The difference between the original length and the new length is 5/6 foot. The equation x-8 1.6=5/6 can be used to represent this problem, where x is the original length of the rope. What was the original length of the rope?

Answer 1

The original length is x
The new length = 8 1/6 feet = 49/6 feet
The difference between two lengths is 5/6 feet
x - 49/6 = 5/6
x = 5/6 + 49/6 = 54/6 = 9 feet
The original length of the rope is 9 feet

Answer 2

Answer: The original length of the rope is 9 feet.

Explanation:

Here, x represents the original length of the rope,

And, the new length of the rope =
`8(1)/(6)=(49)/(6)` feet,

The difference between the new length and the old length of the rope

`=x-(49)/(6)`

According to the question,

`x-(49)/(6)=(5)/(6)`

`x=(5)/(6)+(49)/(6)`

`x=(5+49)/(6)=(54)/(6)=9`

Hence, The original length of the rope is 9 feet.