Francesca is painting a picture of the purple flowers in her garden. She mixes paint to make the perfect color for each type of flower. For the daisies, she mixes 2 ounces of white paint and 5 ounces of purple paint. For the tulips, she mixes 3 ounces of white paint and 6 ounces of purple paint. Which flower is a darker shade of purple?

Answer 1

To determine which flower has a darker shade of purple, we can compare the proportions of purple paint to the total amount of paint mixed for each flower.

For the daisies:

• White paint: 2 ounces
• Purple paint: 5 ounces
• Total paint: 2 ounces + 5 ounces = 7 ounces

Proportion of purple paint in daisies: \[ \text{Proportion of purple} = \frac{5}{7} \approx 0.7143 \text{ (or 71.43%)} \]

For the tulips:

• White paint: 3 ounces
• Purple paint: 6 ounces
• Total paint: 3 ounces + 6 ounces = 9 ounces

Proportion of purple paint in tulips: \[ \text{Proportion of purple} = \frac{6}{9} = \frac{2}{3} \approx 0.6667 \text{ (or 66.67%)} \]

Comparison:

• Daisies: approximately 71.43% purple
• Tulips: approximately 66.67% purple

Since the daisies have a higher proportion of purple paint compared to the tulips, the daisies have a darker shade of purple.