Question

6. The length of a piece of doth is 40 m. If it is cut into three pieces in the ratio 4:7:9, find the lengths of the three pieces

Answer 1

Answer:

8m, 14m, 18m.

Okay

Step-by-step explanation:

4x+7x+9x=40

x=2

4x=8m

7x=14m

9x=18m

Answer 2

Given :

• Length of a piece of cloth = 40 m
• It is cut into 3 pieces in ratio = 4:7:9

To Find :

• Length of all three pieces = ?

Solution :

As, we are given ration of 3 pieces which we get after cutting = 4:7:9

So, Let :

• 1st piece = 4x
• 2nd piece = 7x
• 3rd piece = 9x

Now, we are given total length of cloth = 40 m

$\sf : \implies 4x + 7x + 9x = 40 \: m$

$\sf : \implies 20x = 40 \: m$

$\sf : \implies x = \cancel{\dfrac{40}{20}} \: m$

$\sf : \implies x = 2 \: m$

Now, length of pieces are :

• 1st piece = 4x = 4 × 2 m = 8 m
• 2nd piece = 7x = 7 × 2 m = 14 m
• 3rd piece = 9x = 9 × 2 m = 18 m

So, length of three pieces are 8 m, 14 m and 18 m.