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)
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.