To determine who has the largest ratio of purple to white flowers, we need to calculate the ratio of purple flowers to white flowers for each friend. The ratio is given by dividing the number of purple flowers by the number of white flowers. Let's calculate these ratios one by one:
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 that we have calculated the ratios, let's list them:
- 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 highest ratio among these is [tex]\( 10.0 \)[/tex], which belongs to Marcia.
Therefore, Marcia has the largest ratio of purple to white flowers.
