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 red to make her purple paint. cody is planning to use more and uses 21 tbsp. of blue to 6tbsp. of red. are their ratios of purple mixture equivalent to one another's?

Answer 1

To determine if their ratios of purple mixture are equivalent, we need to compare the ratio of red to blue in their mixtures.

For Aria, she uses 7 tbsp. of red to make her purple paint. Therefore, the ratio of red to blue in her mixture is 7:0 (since she does not use any blue).

For Cody, he uses 6 tbsp. of red to 21 tbsp. of blue in his mixture. To simplify the ratio, we divide both numbers by the greatest common divisor (GCD) of 6 and 21, which is 3.

So, Cody's ratio of red to blue is 6/3 : 21/3, which simplifies to 2:7.

Comparing the two ratios:
Aria's ratio of red to blue = 7:0
Cody's ratio of red to blue = 2:7

As we can see, the ratios are not equivalent. Therefore, their ratios of purple mixture are not equivalent to one another's.

Answer 2

WRONG...the correct answer is YES, they ae equivalent because
7/2 = 21/6