Namid works for a florist and is making arrangements for the tables at a reception . He has 36 roses, 48 tulips, and 72 carnations. Each vase must contain the same number of each type of flower. How many vases will Namid need. How many of each type of flower will he put in one vase?

2 answers

36 = 2^2 * 3^2
38 = 2^4 * 3
72 = 2^3 * 3^2
the greatest common factor of those three is 2^2 * 3 = 12
so, make 12 vases, each with
36/12 = 3 roses
48/12 = 4 tulips
72/12 = 6 carnations
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