b The wholesaler will bunch the flowers into equal sized bunches of the same flower type to sell to florists and supermarkets. What is the largest size bunch so all flowers are used?
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To determine the largest size bunch that utilizes all the flowers, you need to find the greatest common divisor (GCD) of the number of each flower type. For instance, if there are 24 roses and 36 lilies, the GCD here is 12, meaning the wholesaler can create bunches of 12 flowers each, and both 24 and 36 can be fully divided into equal bunch sizes without leftovers. This method ensures maximum utilization of the flowers while maintaining uniformity. Another approach to explore is the prime factorization of the numbers involved. For 24, the prime factors are 2 x 2 x 2 x 3, and for 36, they are 2 x 2 x 3 x 3. By identifying the common factors (in this case, two 2's and one 3), you can multiply them to find the GCD (2 x 2 x 3 = 12). Remember, this not only maximizes flower use but also can enhance sales appeal with neatly organized bunches!
