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.
No, Aria’s has more blue.
No, Aria’s has more blue.
Yes, they are equivalent.
Yes, they are equivalent.
No, Cody’s has more
blue.
The ratios of purple mixture between Aria and Cody are not equivalent to one another's. Cody's mixture has more red compared to Aria's.
To determine if the ratios of the purple mixtures are equivalent, we need to compare the ratios of blue to red for both Aria and Cody.
Let's calculate the ratios for each of them:
Aria's ratio:
Blue:Red = 7 tbsp : 2 tbsp
Simplifying the ratio, we get:
Blue:Red = 7/2 : 2/2
Blue:Red = 7/2 : 1
Cody's ratio:
Blue:Red = 21 tbsp : 6 tbsp
Simplifying the ratio, we get:
Blue:Red = 21/3 : 6/3
Blue:Red = 7 : 2
Now we can compare the ratios:
Aria's ratio = 7/2 : 1
Cody's ratio = 7 : 2
Since both ratios are the same (7:2), we can conclude that Aria's and Cody's ratios of purple mixture are equivalent. Therefore, the correct answer is: Yes, they are equivalent.