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Question Number 212209 by efronzo1 last updated on 06/Oct/24

$\underset{⏟}{⋗}$
	Answered by som(math1967) last updated on 06/Oct/24

	$l e t n o o f s o l d e r s i n A, B, C a r e$ $x, y, z$ $∴ 37 x + 23 y = 29 x + 29 y$ $\Rightarrow 8 x = 6 y \Rightarrow x : y = 3 : 4$ $23 y + 41 z = 33 y + 33 z$ $\Rightarrow 10 y = 8 z \Rightarrow y : z = 4 : 5$ $∴ x : y : z = 3 : 4 : 5$ $s a y x = 3 k, y = 4 k, z = 5 k$ $a v e r a g e a l l s o l d e r s$ $= \frac{37 \times 3 k + 23 \times 4 k + 41 \times 5 k}{3 k + 4 k + 5 k}$ $= \frac{111 k + 92 k + 205 k}{12 k}$ $= 34$
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