To determine the ratios of purple flowers to white flowers for each friend, we will divide the number of purple flowers by the number of white flowers for each of them. Let’s do this step-by-step for each friend.
1. Rowan:
- Number of purple flowers: 8
- Number of white flowers: 2
- Ratio of purple to white flowers: [tex]\( \frac{8}{2} = 4.0 \)[/tex]
2. Marcia:
- Number of purple flowers: 10
- Number of white flowers: 1
- Ratio of purple to white flowers: [tex]\( \frac{10}{1} = 10.0 \)[/tex]
3. Jillian:
- Number of purple flowers: 10
- Number of white flowers: 2
- Ratio of purple to white flowers: [tex]\( \frac{10}{2} = 5.0 \)[/tex]
4. Lulua:
- Number of purple flowers: 18
- Number of white flowers: 3
- Ratio of purple to white flowers: [tex]\( \frac{18}{3} = 6.0 \)[/tex]
Now, let's list these ratios:
- Rowan: [tex]\( 4.0 \)[/tex]
- Marcia: [tex]\( 10.0 \)[/tex]
- Jillian: [tex]\( 5.0 \)[/tex]
- Lulua: [tex]\( 6.0 \)[/tex]
To find out who has the largest ratio of purple to white flowers, we compare these ratios:
- Rowan’s ratio: [tex]\( 4.0 \)[/tex]
- Marcia’s ratio: [tex]\( 10.0 \)[/tex]
- Jillian’s ratio: [tex]\( 5.0 \)[/tex]
- Lulua’s ratio: [tex]\( 6.0 \)[/tex]
The largest ratio is [tex]\( 10.0 \)[/tex], which belongs to Marcia.
Conclusion:
Marcia has the largest ratio of purple to white flowers.
