Two baskets together have 640 oranges. If fra | vedclass

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(C) Let the number of oranges in the first basket be $x$ and in the second basket be $y$.Given that $x + y = 640$.If $\frac{1}{5}$ of the oranges from

Vedclass · Accepted Answer

$400$

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(C) Let the number of oranges in the first basket be $x$ and in the second basket be $y$.Given that $x + y = 640$.If $\frac{1}{5}$ of the oranges from the first basket are moved to the second,the new count in the first basket is $x - \frac{1}{5}x = \frac{4}{5}x$.The new count in the second basket is $y + \frac{1}{5}x$.Since the number of oranges becomes equal,we have $\frac{4}{5}x = y + \frac{1}{5}x$.This simplifies to $y = \frac{3}{5}x$.Substituting $y$ in the first equation: $x + \frac{3}{5}x = 640$.$\frac{8}{5}x = 640$.$x = 640 	imes \frac{5}{8} = 80 	imes 5 = 400$.Thus,the number of oranges in the first basket is $400$.

Two baskets together have $640$ oranges. If $\frac{1}{5}$ of the oranges in the first basket are taken to the second basket,the number of oranges in both baskets becomes equal. The number of oranges in the first basket is:

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