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Question
in art class students are mixing blue and red paint to make purple paint. jace mixes 1 cup of blue paint and 5 cups of red paint. kayla mixes 2 cups of blue paint and 10 cups of red paint. whose purple paint will be redder?
answer attempt 1 out of 2
- jace’s purple paint will be redder.
- kayla’s purple paint will be redder.
- the two purple paints will be equally red.
submit answer
Step1: Calculate Jace's red to blue ratio
To find the ratio of red to blue paint for Jace, we divide the amount of red paint by the amount of blue paint. Jace uses 5 cups of red and 1 cup of blue, so the ratio is $\frac{5}{1} = 5$.
Step2: Calculate Kayla's red to blue ratio
For Kayla, she uses 10 cups of red and 2 cups of blue. The ratio of red to blue is $\frac{10}{2} = 5$.
Step3: Compare the ratios
Since both Jace and Kayla have a red to blue ratio of 5, the proportion of red paint relative to blue paint is the same for both. This means the two purple paints will have the same "redness" because the ratio of red to blue paint is identical.
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The two purple paints will be equally red.