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9. Radha, a florist, has 112 roses, 91 gladioli, and 63 marigolds to be used to make bouquets. Shmake identical bouquets having all three varieties of flowers. What is the maximum number ofbouquets that Radha can make if she uses all the flowers?​

Answer»

Given:

Radha, a florist, has 112 roses, 91 gladioli, and 63 marigolds to be used to make bouquets

She make identical bouquets having all three varieties of flowers

To FIND:

The maximum number of  bouquets that Radha can make if she uses all the flowers

Solution:

To find the maximum no. of bouquets that Radha can make by using all the flowers that she has, we will calculate the H.C.F. of 112, 91 & 63.

We will calculate the H.C.F od 112, 91 & 63 by prime factorisation method:

Factors of 112, 91 & 63:

112 = 2 × 2 × 2 × 2 × 7

91 = 7 × 13

63 = 3 × 3 × 7

H.C.F.:

∴ H.C.F of 112, 91 & 63 = 7

Thus, the maximum number of  bouquets that Radha can make if she uses all the flowers are 7.

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