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.
Yes, they are equivalent.
Yes, they are equivalent.
No, Aria’s has more blue.
No, Aria’s has more blue.
No, Cody’s has more red.
No, Cody's has more blue.
No, Cody's ratio of purple mixture is not equivalent to Aria's. Cody's ratio has more blue, while Aria's ratio has more red.
To determine if Cody and Aria's ratios of purple mixture are equivalent, we need to compare the amount of blue and red used in both mixtures.
Aria's ratio is 7 tbsp. of blue to 2 tbsp. of red.
Cody's ratio is 21 tbsp. of blue to 6 tbsp. of red.
We can simplify both ratios by dividing the amount of blue and red by their greatest common factor.
For Aria's ratio:
The greatest common factor of 7 tbsp. of blue and 2 tbsp. of red is 1. So, we can't simplify the ratio any further.
For Cody's ratio:
The greatest common factor of 21 tbsp. of blue and 6 tbsp. of red is 3. By dividing both the blue and red amounts by 3, we get a simplified ratio of 7 tbsp. of blue to 2 tbsp. of red, which is equivalent to Aria's ratio.
Therefore, the answer is: Yes, they are equivalent.