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In art class students are mixing black and white paint to make gray paint. Layla mixes 2 cups of black paint and 3 cups of white paint. Kiran mixes 4 cups of black paint and 3 cups of white paint. Whose gray paint will be lighter?
Layla's gray paint will be lighter.
Kiran's gray paint will be lighter.
The two gray paints will be equally light.

In art class students are mixing black and white paint to make gray paint. Layla mixes 22 cups of black paint and 33 cups of white paint. Kiran mixes 44 cups of black paint and 33 cups of white paint. Whose gray paint will be lighter?\newlineLayla's gray paint will be lighter.\newlineKiran's gray paint will be lighter.\newlineThe two gray paints will be equally light.

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Q. In art class students are mixing black and white paint to make gray paint. Layla mixes 22 cups of black paint and 33 cups of white paint. Kiran mixes 44 cups of black paint and 33 cups of white paint. Whose gray paint will be lighter?\newlineLayla's gray paint will be lighter.\newlineKiran's gray paint will be lighter.\newlineThe two gray paints will be equally light.
  1. Analyze Laylay's mixture: Analyze Layla's paint mixture.\newlineLayla mixes 22 cups of black paint with 33 cups of white paint.\newlineTo find the ratio of black paint to the total amount of paint, we calculate:\newlineRatio of black paint in Layla's mixture = Number of cups of black paint / Total number of cups of paint\newlineRatio of black paint in Layla's mixture = 22+3=25\frac{2}{2 + 3} = \frac{2}{5}
  2. Analyze Kiran's mixture: Analyze Kiran's paint mixture.\newlineKiran mixes 44 cups of black paint with 33 cups of white paint.\newlineTo find the ratio of black paint to the total amount of paint, we calculate:\newlineRatio of black paint in Kiran's mixture = Number of cups of black paint / Total number of cups of paint\newlineRatio of black paint in Kiran's mixture = 4(4+3)=47\frac{4}{(4 + 3)} = \frac{4}{7}
  3. Compare paint ratios: Compare the ratios to determine which paint will be lighter.\newlineA lower ratio of black paint to total paint will result in a lighter shade of gray.\newlineLayla's ratio: 25\frac{2}{5}\newlineKiran's ratio: 47\frac{4}{7}\newlineTo compare these ratios, we can convert them to decimal or observe that 25\frac{2}{5} (0.40.4) is less than 47\frac{4}{7} (approximately 0.5710.571).\newlineTherefore, Layla's paint will be lighter because it has a lower ratio of black paint.

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