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)

Question

Responses

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

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

Yes, they are equivalent.
Yes, they are equivalent.

No, Cody’s has more blue.

Answer 1

To determine if the ratios of purple mixtures made by Aria and Cody are equivalent, we can compare the ratios of blue to red in each mixture.

Aria's mixture:

• Blue : Red = 7 tbsp : 2 tbsp
• This can be expressed as the ratio 7/2.

Cody's mixture:

• Blue : Red = 21 tbsp : 6 tbsp
• This can be expressed as the ratio 21/6.

Now, we can simplify Cody's ratio:

• 21/6 = 7/2 (by dividing both the numerator and denominator by 3).

Since both Aria and Cody have the same ratio of blue to red (7/2), their mixtures are indeed equivalent.

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