Question

Hello help me with this question thanks in advance​

Answer 1

`\bold{\huge{\underline{ Solution 1 }}}`

Given :-

• A boy wishes to divide a board of 20 cm long into 3 pieces
• He divided the board in the ratio of 1 : 2 :4

To Find :-

• We have to find the length of each divided piece of board

Let's Begin :-

Let the given ratios be 1x, 2x and 4x

• The total length of the board is 28 cm
• He divided it in ratio 1 : 2 : 4

Therefore,

According to the question,

`\sf{ x + 2x + 4x = 28}`

`\sf{ 7x = 28}`

`\sf{ x = }{\sf{(28)/(7)}}`

`\sf{ x = }{\sf{\cancel{(28)/(7)}}}`

`\bold{ x = 4}`

Thus, The value of x is 4

Now,

Length of first piece = 4 cm

Length of second piece

`\sf{ = 2}{\sf{*{4}}}`

`\bold{ = 8\: cm }`

Length of third piece

`\sf{ = 4}{\sf{*{4}}}`

`\bold{ = 16 \:cm }`

Hence, The length of each piece of board is 4 cm , 8cm and 16cm .

`\bold{\huge{\underline{ Solution 2 }}}`

Given :-

• A wholesaler bought 840 m of curtain material
• He decided to divide into 3 bundles in the ratio 2 : 5 : 7

To Find :-

• We have to find the length of each of the bundle of curtains

Let's Begin :-

Let the given ratios be 2x, 5x and 7x

• The total length of curtains is 840 m

According to the question,

`\sf{ 2x + 5x + 7x = 840}`

`\sf{ 14x = 840}`

`\sf{ x = }{\sf{(840)/(14)}}`

`\sf{ x = }{\sf{\cancel{(840)/(14)}}}`

`\bold{ x = 60}`

Thus, The value of x is 60

Now,

Length of the first bundle of curtains

`\sf{ = 2}{\sf{*{60}}}`

`\bold{ = 120\: m }`

Length of the second bundle of curtains

`\sf{ = 5}{\sf{*{60}}}`

`\bold{ = 300\ : m }`

Length of the third bundle of curtains

`\sf{ = 7 }{\sf{*{60}}}`

`\bold{ = 420\: m }`

Hence, The length of each bundle of curtains is 120m, 300 m and 420 m

Answer 2

See below.

Explanation:

1) Piece lengths are:

=> 4 cm

=> 8 cm

=> 16 cm

2) Meters of curtain in bundles are :

=> 120 m

=> 300 m

=> 420 m