Cody and Aria are playing in the mirror they decide they want to part of the mural to have a purple background Arrow uses seven tablespoons of blue two two tablespoons of red to make her purple paint Cody is planning to use more and uses 21 tbsp of blue and six tablespoons of red are the ratios of purple Minister equivalent to one another's a no Cody's has more red be no areas has more blue see yes they are equivalent D no Cody's has more blue

1 answer

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.