You can
put this solution on YOUR website!
There are 120 roses that are too short
There are 90 roses that have too many thorns
But, since
, every 12th rose was also divisible by 3,
and was also a too short rose,and
so 30 of the 90 are being counted twice. Just add
to the list of not wanted
So far I have
not wanted
Of these every
roses is being counted twice
and
, so
66 roses are wilted and are not being counted twice
So far I have:
not wanted
Every 6th rose is pink, but all these were counted as
a too short rose, since dividing by 6 is included by
dividing by 3, therefore don't count these
Likewise, every 8th rose was also counted when I counted
every 4th rose that had too many thorns,so don't count
these
114 roses of the 360 are perfect
I could have stumbled with my logic, but I
think this is right- hope yo at least un-
derstand what I'm doing
You can
put this solution on YOUR website!It seems to me that you count 1, 2 and then primes greater than 5, and multiples of primes. Here is the list that I have:
1, 2,
7, 14, 49, 77, 91, 98, 119, . . . . . .. . . . . . .. [22 options]
11, 22, 121, 143, 154, . . . . . . . . . . . . . . [12 options
13, 26, 169, 182, 221, 247, 286, 299, 338 [9 options]
17, 34, 289, 323 . . . . . . . . . . . . . . . . . . . . .[4 options]
19, 38, 23, 46, 29, 58, 31, 62, 37, 74
41, 82, 43, 86, 47, 94, 53, 106, 59, 118,
61, 122, 67, 134, 71, 142, 73, 146, 77, 154,
79, 158, 83, 166, 89, 178, 91, 182, 97, 194,
101, 202, 103, 206, 107, 214, 109, 218, 113, 226,
127, 254, 131, 262, 137, 274, 139, 278, 149, 298,
151, 302, 157, 314, 163, 326, 167, 334, 173, 346,
179, 358,
----
181, 191, 193, 197, 199, 211, 223, 227, 229, 233,
239, 241, 251, 257, 263, 269, 271, 277, 281, 283,
293, 307, 311, 313, 317, 331, 337, 347, 349, 353,
359
----
so our total appears to be: 2 + 22 + 12 + 9 + 4 + 72 + 31 = 152 good options
---
On a personal note I didn't like this question. It could have been set up better using a smaller number such as 100 roses.
(