To find out if the ratios of their purple mixture are equivalent, we need to compare the ratio of blue to red in each mixture.
For Aria's mixture, the ratio of blue to red is 7:2.
For Cody's mixture, the ratio of blue to red is 21:6.
We can simplify these ratios by dividing both numbers by their greatest common divisor.
For Aria's mixture, the greatest common divisor of 7 and 2 is 1. Dividing both numbers by 1, we get the simplified ratio of 7:2.
For Cody's mixture, the greatest common divisor of 21 and 6 is 3. Dividing both numbers by 3, we get the simplified ratio of 7:2.
Since both ratios simplify to the same ratio of 7:2, we can conclude that their ratios of purple mixture are equivalent to one another's.
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
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