Question

Sherry is the sole proprietor of a successful flower shop. in sherry's flower shop the ratio of roses to lilies is 4 to 3. the ratio of lilies to peonies is 4 to 1. what is the ratio of roses to peonies?

Answer 1

The ratio of roses to lilies is 4:3 and that of lilies to peonies is 4:1.
suppose the number of roses is x:
the number of lilies will be 3/4x
the number of peonies will be 1/4×3/4x=3/16x
the ratio of roses to peonies will be:
x/(3x)/16
x×16/(3x)
=16/3
hence the ratio will be 16:3