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) Responses Yes, they are equivalent. Yes, they are equivalent. No, Aria’s has more blue. No, Aria’s has more blue. No, Cody’s has more red. No, Cody’s has more red. No, Cody’s has more blue.
No, Cody’s has more blue.
No, Cody’s has more red.
To determine if the ratios of purple mixture are equivalent, we need to compare the amount of blue paint used by Aria and Cody.
Aria used 7 tbsp. of blue paint to 2 tbsp. of red paint, resulting in a ratio of 7:2.
Cody used 21 tbsp. of blue paint to 6 tbsp. of red paint, resulting in a ratio of 21:6.
To simplify the ratios, we can divide both sides by the greatest common factor. In this case, the greatest common factor is 1, so the ratios cannot be simplified further.
Comparing the simplified ratios, we have:
Aria's ratio: 7:2
Cody's ratio: 21:6
Since the ratios are not equivalent, we can conclude that the answer is "No, the ratios of purple mixture are not equivalent."