A ribbon is cut into 3 pieces in the ratio 3:2:7. If the total length of the ribbon is 24 m, find the length of each piece.

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Solution

Ratio $\Rightarrow 3 : 2 : 7$
Let x be the multiple.
Then,
Ratio $\Rightarrow 3 x, 2 x, 7 x$
Total length $= 24 m$
$∴ 3 x + 2 x + 7 x = 24$
$12 x = 24$
$∴ x = 2$
The length of each piece
$= 3 x = 3 \times 2 = 6 m$
$= 2 x = 2 \times 2 = 4 m$
$= 7 x = 7 \times 2 = 14 m$

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