Q2

[mbrons01]

The question here is what the maximum total of roses can be in all three corsages. The answer says there can be six roses total. But when you place six roses, it goes outside the restrictions placed in the game...it's boggling my mind how they arrived at six for this answer.

[noah]

I think you may be reading the constraints incorrectly. Why do you think there can't be 6 roses?

You could have this arrangement

C1: R, R, O
C2: R, R, R
C3: R, G, V

BTW, You can't have 7 roses, because you need to reserve at least 3 of the 9 slots for O, R and V.

[bizmail27]

The third sentence in the question states that the (number of roses) = 2 x (number of orchids).

Doesn't that mean there must be either

1 orchid & 2 roses; or
2 orchids & 4 roses?

(If there were 3 orchids, 6 roses, 1 gardenia, and 1 violet, then there would be a total of 11 flowers.)

[georgeyuan0225]

The third sentence in the question states that the (number of roses) = 2 x (number of orchids).

Doesn't that mean there must be either

1 orchid & 2 roses; or
2 orchids & 4 roses?

(If there were 3 orchids, 6 roses, 1 gardenia, and 1 violet, then there would be a total of 11 flowers.)

I was also under this impression when I first looked at the question, but if you look at it carefully, the sentence said

at least twice as many roses as orchids must be used.

so it should be R>=2O instead of R=2O.