On Republic Day,sweets were to be equally dis | vedclass

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(C) Let the total number of sweets be $x$.Initially,each child was supposed to receive $\frac{x}{450}$ sweets.Due to the absence of $150$ children,the

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$9$

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(C) Let the total number of sweets be $x$.Initially,each child was supposed to receive $\frac{x}{450}$ sweets.Due to the absence of $150$ children,the number of children present was $450 - 150 = 300$.Now,each child receives $\frac{x}{300}$ sweets.According to the problem,each child received $3$ extra sweets:$\frac{x}{300} - \frac{x}{450} = 3$Taking the least common multiple $(LCM)$ of $300$ and $450$,which is $900$:$\frac{3x - 2x}{900} = 3$$\frac{x}{900} = 3$$x = 2700$The total number of sweets is $2700$.The number of sweets each child actually received is $\frac{2700}{300} = 9$.

On Republic Day,sweets were to be equally distributed among $450$ children. But on that particular day,$150$ children remained absent. Thus,each child got $3$ sweets extra. How many sweets did each child get?

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