Cody and Aria are painting a mural they decide they want part of the morals 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?

Answer 1

To compare the ratios, we need to simplify them.

Aria's ratio is 7 tbsp of blue to 2 tbsp of red.
Cody's ratio is 21 tbsp of blue to 6 tbsp of red.

To simplify Aria's ratio, we divide both sides by the greatest common factor, which is 1 in this case:
7/1 = 7
2/1 = 2

So Aria's simplified ratio is 7:2.

To simplify Cody's ratio, we divide both sides by the greatest common factor, which is 3 in this case:
21/3 = 7
6/3 = 2

So Cody's simplified ratio is 7:2 as well.

Since both ratios are simplified to the same values, Aria and Cody's purple mixtures are equivalent to each other.