Let c be carnations, d be daffodils, l be larkspurs, t be tiger lillies, and z be zinnias. The order goes as follows:

c, d, l, t, z.

So each cycle of plants counts as 5 plants. We know that 9 * 5 = 45. So the gardener plants 9 full cycles. Which means they have 47 - 45 = 2 plans left over.

In the order above, the second plant is the daffodil. So the gardener planted the

**daffodil**last.

Now, can we shortcut this problem? Yes, using modulus.

47 plants, with 5 plants per cycle, we do 47 mod 5 through our calculator, and get 2. So we have 2 plants left over, and the daffodil is the second plant.