Question

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?

Answer 1

To compare the ratios, we need to simplify them.

Aria's ratio of blue to red is 7:2.
To simplify, we find the greatest common divisor of 7 and 2, which is 1.
Dividing both sides of the ratio by 1, we get 7:2.

Cody's ratio of blue to red is 21:6.
To simplify, we find the greatest common divisor of 21 and 6, which is 3.
Dividing both sides of the ratio by 3, we get 7:2.

Both Aria and Cody's ratios simplify to 7:2.
Therefore, their ratios of purple mixture are equivalent to one another's.

Answer 2

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