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A bag contains $40$ marbles out of which some are white and others are black. If the probability of drawing a black marble is $\frac{3}{5}$, then find the number of white marbles.
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Solution: (a) Let the number of black marbles be $n$.
$P(\text{drawing a black marble}) = \frac{n}{40}$
$\therefore \frac{3}{5} = \frac{n}{40} \Rightarrow n = 24$
Hence, number of white marbles $= 16$
$P(\text{drawing a black marble}) = \frac{n}{40}$
$\therefore \frac{3}{5} = \frac{n}{40} \Rightarrow n = 24$
Hence, number of white marbles $= 16$