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 use 21 tbsp.of blue to 6 tbsp.of red. Are their ratios of purple mixture equivalent to on another's?

Question

A. Yes, they are equivalent
B. No, Cody's has more red
C. No, Cody's has more blue
D. No, Aries has more blue

Answer 1

C. No, Cody's has more blue.

To compare the ratios of blue and red in their purple mixtures, we can simplify their respective ratios:

Aria's ratio: 7 tbsp of blue to 2 tbsp of red

Cody's ratio: 21 tbsp of blue to 6 tbsp of red

We can simplify these ratios by dividing both sides by their greatest common divisor.

Aria's simplified ratio: 7 tbsp of blue to 2 tbsp of red

Cody's simplified ratio: 7 tbsp of blue to 2 tbsp of red

From this, we can see that their simplified ratios are equivalent, indicating that they have the same ratios of blue and red in their purple mixtures. Therefore, the correct answer is:

A. Yes, they are equivalent.