Question

Radhika takes some flowers in a basket and visits three temples one by one. At the first temple, she offers one-half of the flowers from the basket. At the next, she offers one-third of the remaining flowers in the basket. And at the last temple, she offers one-fourth of the remaining flowers in the basket. If she is left with 12 flowers at the end, find the number of flowers she had in the beginning.

Answer 1

Step-by-step explanation:

Let x be the total number of flowers Radha has at first.

Number of flowers remained with her after visit to the first temple-

⇒x−( 2x )= 2x

Numbers of flowers remained with her after visit to the second temple-

⇒( 2x )−( 4x )= 4x

Numbers of flowers remained with her after visit to the third temple-

⇒( 4x )−( 8x )= 8x

Flowers remaining at last = 3

⇒( 8x )=3

⇒x=3×8

⇒x=24

Therefore, she took total 24 flowers to the temple at first.

Thanks