Question

A rope is cut into 3 pieces in the ratio 5:6:7. If the length of the rope is 900m. find the length of each piece.​

Answer 1

• It is given that the rope is cut into 3 pieces in ratio 5:6:7.

We have to find the length of each piece.

• Let us assume that the length of each piece  to be 5x, 6x and 7x

Then as per the question,

5x+6x+7x = 900

18x = 900

x = 50 m

so, the length of each part will be

5x= 5×50

   =250

6x=6×50

    =300

7x= 7×50

   = 350

So, the lengths will be 250m, 300m, and 350 m.

Answer 2

Answer:

$250$ m, $300$ m and $350$ m.

Step-by-step explanation:

Given : The rope is cut into three pieces in the ratio $5:6:7$.

          The total length of rope is $900$ m.

To find : The length of each piece.

Solution :

i) Let the length of each piece be $5x, 6x, 7x$.

ii) As per the given data, we can write the equation as

$5x+6x+7x = 900$

∴ $18x = 900$

∴ $x = \frac{900}{18}$

∴ $x = 50$ m.

iii) So, the length of each part be

$5x = 5*50$

   = $250$ m.

$6x = 6*50$

   = $300$ m.

$7x = 7*50$

   = $350$ m.

iv) ∴ The length of each pieces is $250$ m, $300$ m. and $350$ m.