Question 269002
{{{360/3 = 120}}}
There are 120 roses that are too short
{{{360/4 = 90}}}
There are 90 roses that have too many thorns
But, since {{{3*4 = 12}}}, every 12th rose was also divisible by 3,
and was also a too short rose,and {{{360/12 = 30}}}
so 30 of the 90 are being counted twice. Just add
{{{90 - 30 = 60}}} to the list of not wanted
So far I have {{{120 + 60 = 180}}} not wanted
{{{360/5 = 72}}}
Of these every {{{3*4*5 = 60}}} roses is being counted twice
{{{360/60 = 6}}} and {{{72 - 6 = 66}}}, so
66 roses are wilted and are not being counted twice
So far I have: {{{120 + 60 + 66 = 246}}} 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
{{{360 - 246 = 114}}}
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