Number of lilies used= 30 lilies
Number of roses used= 78 roses
To make the six identical arrangements:
We need to divide lilies into six equal parts, as well as number of roses in six equal parts.
I=Number of lilies in each arrangement = [tex]\frac{30}{6}=5[/tex]
r=Number of roses in each arrangement = [tex]\frac{78}{6}=13[/tex]
Total number of flowers in arrangement (I + r)= 5 Lilies + 13 Roses=18 (Flowers)
The relationship between l, the number of lilies, and r, the number of roses:
→ 5 I = 13 r
[tex]I=\frac{13 r}{5} , r =\frac{5I}{13}[/tex]
