A bouquet With 3 roses, 3 tulips and 5 daisies cost 15.50; a bouquet with 5 roses, 5 tulips and 3 daisies costs 16.50. What would be the cost of a bouquet containing 6 roses, 6 tulips and 4 daisies

The answer is 3.

Explanation:

Let x be the total number of flowers. When the problem says that all but two of the flowers are of one kind, it means there are n−2 flowers of that kind. Therefore, x−2 of them are roses, x−2 of them are tulips and x−2 of them are daisies. Assuming that this exhausts the list of flowers, we can write x−2+x−2+x−2=x which gives n=3

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