Question

Bernie owns the Bright Blooms flower shop. When he makes a small bouquet, he uses 3 roses and 6 lilies. When he makes a large bouquet, he uses 6 roses and 8 lilies. Does Bernie use the same ratio of roses to lilies in both bouquets?

Answer 1

To determine if Bernie uses the same ratio of roses to lilies in both bouquets, we can calculate the ratio for each type of bouquet.

For the small bouquet:
- Number of roses = 3
- Number of lilies = 6

The ratio of roses to lilies for the small bouquet is:
\[
\text{Ratio (small bouquet)} = \frac{\text{Roses}}{\text{Lilies}} = \frac{3}{6} = \frac{1}{2}
\]

For the large bouquet:
- Number of roses = 6
- Number of lilies = 8

The ratio of roses to lilies for the large bouquet is:
\[
\text{Ratio (large bouquet)} = \frac{\text{Roses}}{\text{Lilies}} = \frac{6}{8} = \frac{3}{4}
\]

Now we compare the two ratios:
- Small bouquet ratio = \( \frac{1}{2} \)
- Large bouquet ratio = \( \frac{3}{4} \)

Since \( \frac{1}{2} \) is not equal to \( \frac{3}{4} \), we conclude that Bernie does not use the same ratio of roses to lilies in both bouquets.