algebra question

Question

Floral designers often create arrangements where the flower height to container ratio is 5 to 3 . A certain museum wishes to create a floral display for the opening of a new show. They know they want to use an antique vase from their collection that is 10 inches high. How tall will the entire flower arrangement be if they use this standard​ ratio?

Answer 1

Using the given ratio of 5:3 for flower height to container height, we can set up a proportion with x representing the total height of the arrangement:

5/3 = x/10

To solve for x, we can cross-multiply and simplify:

3x = 50

x = 16.67 inches

Therefore, the entire flower arrangement will be approximately 16.67 inches tall if the museum uses the 5:3 flower height to container ratio with a 10-inch antique vase.