Question

in art class students are mixing black and white paint to make gray paint. allison mixes 1 cup of black paint and 2 cups of white paint. alexander mixes 6 cups of black paint and 11 cups of white paint. use allison’s and alexander’s percent of white paint to determine whose gray paint will be lighter.

answer attempt 1 out of 2

allison’s percent of white paint (to nearest whole number) =

alexander’s percent of white paint (to nearest whole number) =

allison’s gray paint will be lighter.
alexander’s gray paint will be lighter.
the two gray paints will be equally light.

Explanation:

Step1: Calculate Allison's total paint

Allison uses 1 cup black and 2 cups white, so total paint is $1 + 2 = 3$ cups.

Step2: Find Allison's white paint percentage

Percent of white paint = $\frac{\text{white paint}}{\text{total paint}} \times 100 = \frac{2}{3} \times 100 \approx 67\%$.

Step3: Calculate Alexander's total paint

Alexander uses 6 cups black and 11 cups white, so total paint is $6 + 11 = 17$ cups.

Step4: Find Alexander's white paint percentage

Percent of white paint = $\frac{11}{17} \times 100 \approx 65\%$.

Step5: Compare percentages

Since $67\% > 65\%$, Allison's paint has more white, so it's lighter.

Answer:

Allison’s percent of white paint (to nearest whole number) = $\boldsymbol{67}\%$
Alexander’s percent of white paint (to nearest whole number) = $\boldsymbol{65}\%$
Allison’s gray paint will be lighter.