Question

in art class students are mixing black and white paint to make gray paint. aaron mixes 3 cups of black paint and 2 cups of white paint. julia mixes 11 cups of black paint and 6 cups of white paint. whose gray paint will be darker? answer attempt 1 out of 2 aaron’s gray paint will be darker. julia’s gray paint will be darker. the two gray paints will be equally dark.

Explanation:

Step1: Calculate Aaron's black ratio

To find the proportion of black paint in Aaron's mixture, we use the formula $\frac{\text{black}}{\text{total}}$. The total paint for Aaron is $3 + 2 = 5$ cups. So the ratio is $\frac{3}{5} = 0.6$.

Step2: Calculate Julia's black ratio

For Julia, the total paint is $11 + 6 = 17$ cups. The ratio of black paint is $\frac{11}{17} \approx 0.647$.

Step3: Compare the ratios

We compare $0.6$ (Aaron's black ratio) and $0.647$ (Julia's black ratio). Since $0.647 > 0.6$, Julia's mixture has a higher proportion of black paint. A higher proportion of black paint means the gray paint is darker.

Answer:

Julia’s gray paint will be darker.