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, 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.
Yes, they are equivalent.

No, Cody’s has more red.

No, Cody’s has more red.

you made me get it wrong fu

I apologize if my response led to an incorrect answer. Let me provide the correct explanation:

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

Aria's ratio of blue to red is 7:2, which simplifies to 3.5:1.

Cody's ratio of blue to red is 21:6, which simplifies to 3.5:1.

Since both ratios simplify to the same value of 3.5:1, their ratios of purple mixture are indeed equivalent.

Therefore, the correct answer is: Yes, they are equivalent.

No, Cody’s has more blue.

To determine if the ratios of the purple mixture are equivalent or not, we need to compare the ratios of blue to red for both Aria and Cody.

Aria uses 7 tbsp. of blue to 2 tbsp. of red, so the ratio of blue to red for Aria is 7:2.

Cody uses 21 tbsp. of blue to 6 tbsp. of red, so the ratio of blue to red for Cody is 21:6, which can be simplified to 7:2 as well.

Since both ratios are 7:2, the ratios of the purple mixture for Aria and Cody are equivalent. Therefore, the correct answer is:

Yes, they are equivalent.