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 \( \frac{11}{5} \).
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