Ratios Quick Check

5 of 55 of 5 Items
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?(1 point)
Responses

No, Cody’s has more red.
No, Cody’s has more red.

No, Aria’s has more blue.
No, Aria’s has more blue.

No, Cody’s has more blue.
No, Cody’s has more blue.

Yes, they are equivalent.

No, they are not equivalent.

No, they are not equivalent.

To determine if Cody and Aria's ratios of purple paint mixture are equivalent, we need to compare the ratio of blue to red in both mixtures.

For Aria's mixture, the ratio of blue to red is 7 tbsp : 2 tbsp, which can be simplified to 7:2.

For Cody's mixture, the ratio of blue to red is 21 tbsp : 6 tbsp, which can be simplified to 7:2 as well.

Since both ratios are the same (7:2), we can conclude that Cody and Aria's ratios of purple paint mixture are equivalent. Therefore, the correct response is:

Yes, they are equivalent.