Radha takes some flowers in a basket and visits three temples one by one. At each temple, she takes one half of the flowers from the basket. If she is left with 3 flowers at the end, find the number of flowers she had in the beginning?

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answer is C.

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Detailed Solution

Concept-
We need to figure out how many flowers she had. The first step is to create an equation using the relationships provided in the question, so that after each step she has half of each flower.
We consider that the numbers of flowers Radha had in beginning of visiting temple as

.
When she reaches the first temple, she offers one of the halves of the flowers from the baskets then
If in first temple Radha entered with

flowers then in such case she devoted

flowers in the first temple.
Now, the number of flowers she had after visiting the first temple is

Now, the total number of flowers she had before entering the second temple will be