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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. ---------------------------------------------------------------------------------- Also View:45 roses, 65 carnations and 50 tulips are used to PREPARE identical flower arrangements. what is the maximum number of such arrangements that can be possible? Two ROPES of the LENGTH 16m and 24 m are to cut into small pieces of EQUAL length. What will be the maximum length of the each pieces? |
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