Radha takes some flowers in a basket

Question:

Radha takes some flowers in a basket and visits three temples one-by-one. At each temple, she offers one half of the flowers from the basket.

If she is left with 3 flowers at the end, then find the number of flowers she had in the beginning.

Solution:

Let total number of the flowers be $x$.

Then, flowers offered in first temple $=\frac{x}{2}$

Flowers offered in second temple $=\frac{x}{4}$

Flowers offered in third temple $=\frac{x}{8}$

Number of flowers left at the end $=3$

According to the question,

$x-\left(\frac{x}{2}+\frac{x}{4}+\frac{x}{8}\right)=3$

$\Rightarrow$ $\frac{8 x-(4 x+2 x+x)}{8}=3$

$\Rightarrow \quad 8 x-7 x=24$

$\therefore$ $x=24$

Hence, total number of flowers she had in the beginning is 24 .

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