Question

There are 5 roses and 6 daisies in a vase.

(a) What is the ratio of daisies to all flowers in the vase?

(b) What is the ratio of all flowers in the vase to roses?

Answer 1

To solve the problem, let's first determine the total number of flowers in the vase.

Total number of roses = 5
Total number of daisies = 6

Total number of flowers = number of roses + number of daisies = 5 + 6 = 11

Now, let's answer each part of the question:

(a) **What is the ratio of daisies to all flowers in the vase?**

The ratio of daisies to all flowers is given by the number of daisies divided by the total number of flowers.

\[
\text{Ratio of daisies to all flowers} = \frac{\text{Number of daisies}}{\text{Total number of flowers}} = \frac{6}{11}
\]

(b) **What is the ratio of all flowers in the vase to roses?**

The ratio of all flowers to roses is given by the total number of flowers divided by the number of roses.

\[
\text{Ratio of all flowers to roses} = \frac{\text{Total number of flowers}}{\text{Number of roses}} = \frac{11}{5}
\]

To summarize:

(a) The ratio of daisies to all flowers in the vase is \( \frac{6}{11} \).
(b) The ratio of all flowers in the vase to roses is \( \frac{11}{5} \).