Question 79

Solve the following:

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.

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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,
$x - (\frac{x}{2} + \frac{x}{4} + \frac{x}{8}) = 3 \Rightarrow \frac{8 x - (4 x + 2 x + x)}{8} = 3 \Rightarrow 8 x - 7 x = 24 ∴ x = 24$
Hence, total number of flowers she had in the beginning is 24.

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Question 79 Solve the following: 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.

Question 79

Solve the following:

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.