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 anothers?

Answer 1

To determine if the ratios are equivalent, we need to compare the amounts of blue and red used in each mixture.

For Aria's purple paint:
Blue: 7 tbsp
Red: 2 tbsp

For Cody's purple paint:
Blue: 21 tbsp
Red: 6 tbsp

To simplify the ratios, we can divide both sides by the greatest common divisor, which in this case is 1.

Aria's ratio:
Blue: 7 tbsp
Red: 2 tbsp

Cody's ratio:
Blue: 21 tbsp
Red: 6 tbsp

Since the ratios are already simplified, we can see that the ratio of blue to red is the same for both Aria and Cody: 7:2. Therefore, their ratios of purple mixture are equivalent to one another.