Create an image of a setting where a yellow rope is neatly cut into three separate pieces with a pair of black-handled scissors lying nearby on a brown wooden table. One third of the rope has been moved a bit further, representing the part that has been used. The rest of the rope has a quarter of it cut off and separated a little from the main part, indicating the part used in the second step. The remaining part is left intact, symbolizing the final six meters left.

A rope is cut into three and one-third is used. Then one-fourth of the remaining rope is cut off and used. The piece left is 6 meters long. How many meters long was the rope originally?

Where does the 3/4 came?

Well, if we do some rope calculations, we might find the answer! So, let's grab our measuring tape and start measuring the rope.

First, we cut the rope into three equal parts. That means each part is one-third of the original length. We use up one of these parts, so now we have two-thirds left.

Next, we take one-fourth of the remaining length and cut it off, using it for who knows what (maybe a jump rope for squirrels?). That means we have three-fourths of the two-thirds of the original length left.

Now, we are given that this remaining piece is 6 meters long. So, if we set up an equation, we can solve for the original length (let's call it x):

(3/4) * (2/3) * x = 6

Now, let's put on our math clown hat and find the value of x. Multiplying the fractions and isolating x, we get:

x = (6 * (4/3) * (3/2))
x = 8

So, the original length of the rope was 8 meters. Ta-da!

To solve this problem, let's break it down step by step:

Step 1: Start with the remaining piece of the rope.
Let's denote the length of the remaining piece as "R".

Step 2: Find the length of the rope after cutting one-fourth.
After cutting one-fourth of the remaining rope, three-fourths of the remaining rope is left. So, the length of the remaining rope after cutting one-fourth is (3/4) * R.

Step 3: Find the length of the rope after using one-third.
The problem states that one-third of the original rope is used, so (1/3) of the original rope is equal to the remaining rope after step 2. Therefore, we can write the equation:
(1/3) * Original rope length = (3/4) * R

Step 4: Solve for R.
Rearranging the equation from step 3, we have:
Original rope length = (3/4) * R * (3/1)

Given that R is 6 meters (from the problem statement), we can substitute it into the equation to find the original rope length:
Original rope length = (3/4) * 6 * (3/1)

Simplifying the expression:
Original rope length = (9/4) * 6

Calculating the result:
Original rope length = 13.5 meters

Therefore, the original rope was 13.5 meters long.

x(1 - 1/3)(3/4) = 6

x(2/3)(3/4)n = 6
6/12x = 6
x = 6(12/6)
x=12

pokal nata iba answer mi? almost 1 hr na beh iyo

(1/3)x + (1/4 * 2/3)x + 6 = x

(4/12)x + (2/12)x + 6 = x

(1/2)x + 6 = x

6 = (1/2)x

6 / 1/2) = x

12 = x