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 blue.
No, Cody’s has more blue.
No, Cody’s has more red.
No, Cody’s has more red.
No, Aria’s has more blue.
No, Aria’s has more blue.
Yes, they are equivalent.
No, Cody’s has more blue.
Yes, they are equivalent.
To determine if Cody and Aria's ratios of purple mixture are equivalent, we need to compare the amount of blue and red in each mixture. Aria uses 7 tbsp. of blue to 2 tbsp. of red, while Cody uses 21 tbsp. of blue to 6 tbsp. of red.
To analyze the ratios, we can compare the ratios of blue to red in both mixtures.
For Aria's mixture, the ratio of blue to red is 7:2 (or 7/2).
For Cody's mixture, the ratio of blue to red is 21:6, which can be simplified to 7:2 as well.
Since both ratios are the same (7:2), their ratios of purple mixture are indeed equivalent.
Therefore, the correct answer is:
Yes, they are equivalent.