Question

Flannery used 30 lilies and 78 roses to create six identical flower arrangements. Write an equation to describe the relationship between l, the number of lilies, and r, the number of roses.

Answer 1

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 = $\frac{30}{6}=5$

r=Number of roses in each arrangement = $\frac{78}{6}=13$

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

$I=\frac{13 r}{5} , r =\frac{5I}{13}$