343,447 views
15 votes
15 votes
Hello help me with this question thanks in advance​

Hello help me with this question thanks in advance​-example-1
User Spulec
by
2.8k points

2 Answers

23 votes
23 votes


\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

User Rich Bradshaw
by
3.1k points
23 votes
23 votes

Answer:

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

User Remeika
by
3.1k points