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One fifth of the flowers in a bouquet are roses. Half of the flowers are lily and the remaining are orchid. If the numbers of roses is eight; how many orchids are there in the bouquet?

One fifth of the flowers in a bouquet are roses. Half of the flowers are lily and the remaining are orchid. If the numbers of roses is eight; how many orchids are there in the bouquet? Correct Answer 12

Given:  

Rose flowers in bouquet = 1/5th of total flowers in bouquet 

Lily flowers in bouquet = 1/2 of total flowers in bouquet

Number of rose flowers = 8

Calculation:

Number of rose flowers = 1/5th of total flowers in bouquet = 8

Total number of flowers in bouquet = 5 × 8 = 40

number of lily flowers in bouquet = 1/2 of total flowers in bouquet 

⇒1/2 × 40 = 20 

Number of orchid flowers in bouquet = total number of flowers – (number of rose flowers + number of lily flowers )

⇒40 – ( 8 + 20 )

⇒40 – 28 = 12

∴Number of orchids flowers are 12.

∴ Option 2 is correct

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