Cody and Aria are painting a mural. They decide they want part of the mural to have a purple background. Aria uses 7 tbsp. of blue to 2 tbsp. of red to make her purple paint. Cody is planning to use more and uses 21 tbsp. of blue to 6 tbsp. of red. Are their ratios of purple mixture equivalent to one another's?(1 point)

To determine if the ratios of the purple mixtures made by Aria and Cody are equivalent, we need to look at the ratios of blue to red for both.

Aria's mixture:

• Blue: 7 tbsp
• Red: 2 tbsp

The ratio of blue to red for Aria is: \[ \frac{7}{2} \]

Cody's mixture:

• Blue: 21 tbsp
• Red: 6 tbsp

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 Aria's and Cody's ratios simplify to \(\frac{7}{2}\).

Since both ratios are equivalent, the correct response is:

Yes, they are equivalent.