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.
Yes, they are equivalent.
Yes, they are equivalent.
No, Cody’s has more blue.
No, Cody’s has more blue.
No, Aria’s has more blue.
No, Aria’s has more blue.
No, Cody’s has more blue
To determine whether Cody's and Aria's ratios of purple mixture are equivalent, we need to compare the amount of blue and red they used.
Aria used 7 tbsp of blue and 2 tbsp of red, while Cody used 21 tbsp of blue and 6 tbsp of red.
To make a fair comparison, we can calculate the ratio of blue to red for each:
Aria's ratio of blue to red = 7 tbsp blue / 2 tbsp red = 3.5
Cody's ratio of blue to red = 21 tbsp blue / 6 tbsp red = 3.5
Both Aria and Cody have the same ratio of blue to red, which is 3.5. Therefore, their ratios of purple mixture are equivalent to one another's.
So the correct answer is:
Yes, they are equivalent.