Math Problem Statement
Solution
To determine which mixture is a lighter shade of purple, we need to analyze the ratios of purple paint to white paint in each mixture. The more white paint relative to purple, the lighter the shade of purple will be.
-
Mixture A: 5 cups of purple paint and 2 cups of white paint.
- The ratio of purple to white = .
-
Mixture B: 15 cups of purple paint and 8 cups of white paint.
- The ratio of purple to white = .
Now, let's compare the ratios:
A smaller ratio means there is more white paint in comparison to purple, which leads to a lighter shade of purple.
Since (Mixture B) is less than (Mixture A), Mixture B has a higher proportion of white paint and will be a lighter shade of purple.
Answer: Mixture B is the lighter shade of purple because it has a lower ratio of purple to white paint.
Would you like more details or have any other questions? Here are some related questions for further practice:
- How would the color change if we added more white paint to Mixture A?
- What would the ratio of purple to white be if we mixed both Mixture A and B together?
- How do the proportions affect the darkness of a color in general?
- If you wanted to make Mixture B darker, how much purple paint would you need to add?
- Can we achieve a specific shade by mixing these two mixtures? How would you calculate that?
Tip: To compare ratios easily, divide both the numerator and denominator in each mixture to get their decimal form. This helps in determining which is larger or smaller!
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Ratios
Proportions
Color Mixing
Formulas
Ratio of purple to white paint = purple cups / white cups
Theorems
Smaller ratios of colored paint to white lead to lighter shades.
Suitable Grade Level
Grades 5-7
Related Recommendation
Solving Paint Mixture Ratios with Red, Blue, and White Paint
Identifying the Correct Paint Mixture Using Ratios: 2 Cups of Orange and 2 Cups of Purple
Calculate White Paint for 140 Gallons of Pink Paint Using a 4:1 Ratio
How to Describe and Simplify Ratios Using Yellow and Blue Paint
How to Mix Red and Blue Paint in a 5:3 Ratio for 20 Gallons