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In art class students are mixing blue and red paint to make purple paint. Bella mixes 1 cup of blue paint and 4 cups of red paint. Corey mixes 1 cup of blue paint and 5 cups of red paint. Whose purple paint will be redder?
Bella's purple paint will be redder.
Corey's purple paint will be redder.
The two purple paints will be equally red.

In art class students are mixing blue and red paint to make purple paint. Bella mixes 11 cup of blue paint and 44 cups of red paint. Corey mixes 11 cup of blue paint and 55 cups of red paint. Whose purple paint will be redder?\newlineBella's purple paint will be redder.\newlineCorey's purple paint will be redder.\newlineThe two purple paints will be equally red.

Full solution

Q. In art class students are mixing blue and red paint to make purple paint. Bella mixes 11 cup of blue paint and 44 cups of red paint. Corey mixes 11 cup of blue paint and 55 cups of red paint. Whose purple paint will be redder?\newlineBella's purple paint will be redder.\newlineCorey's purple paint will be redder.\newlineThe two purple paints will be equally red.
  1. Compare Ratios: To determine whose purple paint will be redder, we need to compare the ratio of red paint to blue paint in each mixture.
  2. Bella's Ratio: Bella's ratio of red to blue paint is 44 cups of red paint to 11 cup of blue paint, which simplifies to a ratio of 4:14:1.
  3. Corey's Ratio: Corey's ratio of red to blue paint is 55 cups of red paint to 11 cup of blue paint, which simplifies to a ratio of 5:15:1.
  4. Comparison Result: Comparing the ratios, we see that Corey's mixture has a higher proportion of red paint to blue paint than Bella's mixture.
  5. Conclusion: Since Corey's mixture has a higher proportion of red paint, Corey's purple paint will be redder than Bella's.

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