Question

in art class students are mixing blue and red paint to make purple paint. arianna mixes 6 cups of blue paint and 5 cups of red paint. mamadou mixes 7 cups of blue paint and 6 cups of red paint. use arianna’s and mamadou’s percent of blue paint to determine whose purple paint will be bluer. answer attempt 1 out of 2 arianna’s percent of blue paint (to nearest whole number) = % mamadou’s percent of blue paint (to nearest whole number) = % ∘ arianna’s purple paint will be bluer. ∘ mamadou’s purple paint will be bluer. ∘ the two purple paints will be equally blue.

Explanation:

Step1: Calculate Arianna's total paint

Arianna uses 6 cups blue and 5 cups red. Total = \( 6 + 5 = 11 \) cups.

Step2: Calculate Arianna's blue percentage

Percent blue = \( \frac{6}{11} \times 100 \approx 54.55\% \), rounded to 55%.

Step3: Calculate Mamadou's total paint

Mamadou uses 7 cups blue and 6 cups red. Total = \( 7 + 6 = 13 \) cups.

Step4: Calculate Mamadou's blue percentage

Percent blue = \( \frac{7}{13} \times 100 \approx 53.85\% \), rounded to 54%.

Step5: Compare percentages

55% (Arianna) > 54% (Mamadou), so Arianna's is bluer.

Answer:

Arianna’s percent of blue paint = 55%
Mamadou’s percent of blue paint = 54%
Arianna’s purple paint will be bluer.