Cody and Ara are painting a mural. They decide they want part of the mural to have a purple background.

Aria uses 7 tosp. of blue to 2 tbsp. of red to make her purple paint. Cody is planning to use more and uses 21 tsp. of blue to 6 tosp. of red. Are their ratios of purple mindure equivalent to one anothers? (1 point)

1 answer

To determine if the ratios of purple mixtures are equivalent, we need to compare the ratios of blue to red in both mixtures.

Aria's mixture: 7 tbsp. of blue to 2 tbsp. of red
Cody's mixture: 21 tbsp. of blue to 6 tbsp. of red

To simplify the ratios, both ratios need to be divided by their greatest common divisor, which is 1 in this case.

Aria's simplified ratio: 7 tsp. of blue to 2 tsp. of red
Cody's simplified ratio: 21 tsp. of blue to 6 tsp. of red

Comparing these simplified ratios, we can see that they are not equivalent. Aria's ratio is 7:2 and Cody's ratio is 21:6. Therefore, their ratios of purple mixture are not equivalent.