Question

in art class students are mixing blue and red paint to make purple paint. travis mixes 2 cups of blue paint and 7 cups of red paint. ellie mixes 5 cups of blue paint and 11 cups of red paint. use travis’ and ellie’s percent of red paint to determine whose purple paint will be redder.

answer attempt 1 out of 2

travis’ percent of red paint (to nearest whole number) = \\(\square\\)%

ellie’s percent of red paint (to nearest whole number) = \\(\square\\)%

\\(\circ\\) travis’ purple paint will be redder.
\\(\circ\\) ellie’s purple paint will be redder.
\\(\circ\\) the two purple paints will be equally red.

Explanation:

Step1: Calculate Travis' total paint

Travis uses 2 cups blue and 7 cups red, so total paint is \(2 + 7 = 9\) cups.

Step2: Find Travis' red paint percentage

The percentage of red paint is \(\frac{7}{9} \times 100 \approx 77.78\%\), rounded to nearest whole number is \(78\%\).

Step3: Calculate Ellie's total paint

Ellie uses 5 cups blue and 11 cups red, so total paint is \(5 + 11 = 16\) cups.

Step4: Find Ellie's red paint percentage

The percentage of red paint is \(\frac{11}{16} \times 100 = 68.75\%\), rounded to nearest whole number is \(69\%\).

Step5: Compare percentages

Since \(78\% > 69\%\), Travis' purple paint has a higher percentage of red paint.

Answer:

Travis' percent of red paint (to nearest whole number) = \(78\%\)
Ellie's percent of red paint (to nearest whole number) = \(69\%\)
Travis' purple paint will be redder.