Respuesta :

Answer:

See below.

Step-by-step explanation:

1) Piece lengths are:

=> 4 cm

=> 8 cm

=> 16 cm

2) Meters of curtain in bundles are :

=> 120 m

=> 300 m

=> 420 m

Starrysoul100

[tex]\bold{\huge{\underline{ Solution 1 }}}[/tex]

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,

[tex]\sf{ x + 2x + 4x = 28}[/tex]

[tex]\sf{ 7x = 28}[/tex]

[tex]\sf{ x = }{\sf{\dfrac{28}{7}}}[/tex]

[tex]\sf{ x = }{\sf{\cancel{\dfrac{28}{7}}}}[/tex]

[tex]\bold{ x = 4}[/tex]

Thus, The value of x is 4

Now,

Length of first piece = 4 cm

Length of second piece

[tex]\sf{ = 2}{\sf{\times{4}}}[/tex]

[tex]\bold{ = 8\: cm }[/tex]

Length of third piece

[tex]\sf{ = 4}{\sf{\times{4}}}[/tex]

[tex]\bold{ = 16 \:cm }[/tex]

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

[tex]\bold{\huge{\underline{ Solution 2 }}}[/tex]

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,

[tex]\sf{ 2x + 5x + 7x = 840}[/tex]

[tex]\sf{ 14x = 840}[/tex]

[tex]\sf{ x = }{\sf{\dfrac{840}{14}}}[/tex]

[tex]\sf{ x = }{\sf{\cancel{\dfrac{840}{14}}}}[/tex]

[tex]\bold{ x = 60}[/tex]

Thus, The value of x is 60

Now,

Length of the first bundle of curtains

[tex]\sf{ = 2}{\sf{\times{60}}}[/tex]

[tex]\bold{ = 120\: m }[/tex]

Length of the second bundle of curtains

[tex]\sf{ = 5}{\sf{\times{60}}}[/tex]

[tex]\bold{ = 300\ : m }[/tex]

Length of the third bundle of curtains

[tex]\sf{ = 7 }{\sf{\times{60}}}[/tex]

[tex]\bold{ = 420\: m }[/tex]

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

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