A rope 24m long is dividend into three pieces in the ratio 2:1:5. the length of the shortest piece is

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07-06-2022
Mathematics

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A rope 24m long is dividend into three pieces in the ratio 2:1:5. the length of the shortest piece is

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jdoe0001 jdoe0001 · Answer 1 · 2022-06-07T00:17:49+02:00

well, let's simply divide the total of 24 by (2 + 1 + 5) and then distribute accordingly to each ratio.

[tex]2 ~~ : ~~ 1 ~~: ~~ 5\implies 2\cdot \cfrac{24}{2+1+5}~~ : ~~ 1\cdot \cfrac{24}{2+1+5} ~~: ~~ 5\cdot \cfrac{24}{2+1+5} \\\\\\ 2 \cdot \cfrac{24}{8}~~ : ~~ 1 \cdot \cfrac{24}{8}~~: ~~ 5\cdot \cfrac{24}{8}\implies 2(3)~~ : ~~ 1(3) ~~: ~~ 5(3)\implies 6:\stackrel{\stackrel{shortest}{\downarrow }}{3}:15[/tex]