Question

there are 42 roses, 24 sunflowers and33 marigolds in a shop . all the flowers are equally distribited in the baskets . find the greatest number of flowers that each basket can have . please show solution also

Answer 1

I don't know whether it is correct or not.......I think it is correct......study hard

Answer 2

The greatest number of flowers (Roses , sunflowers and Marigolds) that each basket can have is 3.

Given:

Number of roses in a shop = 42

Number of sunflowers in a shop = 24

Number of marigolds in a shop = 33

Concept used:

• We have to find the HCF to find the greatest number of flowers that each basket can have .
• HCF of two or more numbers = Product of the smallest power of each common prime factor involved in the numbers.

Solution:

Step1 : Find the factors of 42 , 24 and 33:

• Prime factors of 42 = 2 × 3 × 7
• Prime factors of 24 = 2 × 2 × 2 × 3
• Prime factors of 33 = 3 × 11

Step 2 : Find the HCF of 42 , 24 and 33 from the above Prime factors:

Common factor of 42 , 24 and 33 is 3 .

So, HCF of 42 , 24 and 33 is 3.

Hence, the greatest number of flowers that each basket can have is 3.

Learn more on Brainly:

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Find the LCM and HCF of the following pairs of integers and verify that LCM x HCF = product of the integers:

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