Answer:
Step-by-step explanation:
since GCF(162,108,180)=18
and you have not mentionned it was the maximum of arrangements you want:
[tex]\begin{array}{c|c|c|c}\#arrangement&\#Roses&\#Dahlias&\#Tulips\\-------&-------&-------&-------\\1&162&108&180\\2&81&54&90\\3&54&36&60\\6&27&18&30\\9&18&12&30\\18&9&6&10\\-------&-------&-------&-------\\\end {array}[/tex]