To determine if the ratios of purple paint made by Aria and Cody are equivalent, we need to compare the ratios of blue to red in both mixtures.
Aria's mixture:
- Blue: 7 tablespoons
- Red: 2 tablespoons
The ratio of blue to red for Aria is \( \frac{7}{2} \).
Cody's mixture:
- Blue: 21 tablespoons
- Red: 6 tablespoons
The ratio of blue to red for Cody is \( \frac{21}{6} \).
Now, we can simplify Cody's ratio:
\[ \frac{21}{6} = \frac{21 \div 3}{6 \div 3} = \frac{7}{2} \]
Both ratios are \( \frac{7}{2} \).
Since the ratios are equivalent, the correct answer is:
C) Yes, they are equivalent.