Mathematics
Amillion
2

a piece of wood is 180cm long, Tom cuts it into three pieces in the ratio 2:3:4 Work out the length of the longest piece

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(2) Answers
RoxannaRicher

2:3:4 2:3:4 can be written as 2x:3x:4x 2x+3x+4x=180 9x=180 x=20  Therefore it is 40:60:80

Browneyes

[latex]The\ ratio\ is:2:3:4\\ Let's\ sum\ up\ it:\\ 2+3+4=9\\ \frac{2}{9}*180=40\\ \frac{3}{9}*180=60\\ \frac{4}{9}*180=80\\ The\ longest\ piece\ has\ lenth=80cm[/latex]

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