Cody and aria are painting a mural they decide they want part of the mural to have 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 anothers

Answer 1

To determine if the ratios of their purple mixtures are equivalent, we need to simplify both ratios.

Aria's ratio of blue to red is 7:2. This means that for every 7 tablespoons of blue, she uses 2 tablespoons of red.

Cody's ratio of blue to red is 21:6. This means that for every 21 tablespoons of blue, he uses 6 tablespoons of red.

To simplify Aria's ratio, we divide both numbers by their greatest common divisor (GCD), which is 1 in this case since 7 and 2 are prime numbers.

7 ÷ 1 = 7
2 ÷ 1 = 2

Therefore, Aria's simplified ratio is 7:2.

To simplify Cody's ratio, we divide both numbers by their GCD, which is 3 in this case.

21 ÷ 3 = 7
6 ÷ 3 = 2

Therefore, Cody's simplified ratio is 7:2, which is the same as Aria's simplified ratio.

Thus, their ratios of purple mixture are equivalent.

Answer 2

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