Jasper is a florist, and he is putting together bouquets of tulips to sell in his store. Using the 300 tulips he has in stock, he wants to make a combination of small bouquets with 8 tulips each and large bouquets with 20 tulips each.

Which pairs (s,𝓁) represent possible numbers of small and large bouquets that Jasper could make?

1 answer

There are 37 pairs (s,𝓁) that represent possible numbers of small and large bouquets that Jasper could make using 300 tulips. These pairs are as follows:

(0, 15)
(1, 14)
(2, 13)
(3, 12)
(4, 11)
(5, 10)
(6, 9)
(7, 8)
(8, 7)
(9, 6)
(10, 5)
(11, 4)
(12, 3)
(13, 2)
(14, 1)
(15, 0)
(16, 0)
(17, 0)
(18, 0)
(19, 0)
(20, 0)
(22, 1)
(23, 1)
(24, 1)
(25, 1)
(26, 1)
(27, 1)
(28, 1)
(29, 1)
(30, 1)
(31, 1)
(32, 1)
(33, 1)
(34, 1)
(35, 1)
(36, 1)
(37, 1)
(38, 1)
(39, 1)