Given: The ratio of flower height to the container is 5:3. The height of an antique vase is 18 inches.
Required: To determine the height of the entire flower.
Explanation: Let the height of the entire flower be x inches. Then according to the question-
[tex]x:18=5:3[/tex]
Further solving for x as follows-
[tex]\begin{gathered} \frac{x}{18}=\frac{5}{3} \\ x=\frac{5}{3}\times18 \\ x=30\text{ in} \end{gathered}[/tex]
Final Answer: The entire flower collection will be 30 inches tall.
