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.

Step-by-step explanation:

Here, x represents the original length of the rope,

And, the new length of the rope = $8\frac{1}{6}=\frac{49}{6}$ feet,

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

$=x-\frac{49}{6}$

According to the question,

$x-\frac{49}{6}=\frac{5}{6}$

$x=\frac{5}{6}+\frac{49}{6}$

$x=\frac{5+49}{6}=\frac{54}{6}=9$

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