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
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 red.
No, Cody’s has more red.
No, Cody’s has more red.
To determine whether Cody and Aria's ratios of purple mixture are equivalent, we need to compare the amounts of blue and red paint they used.
Aria used 7 tbsp. of blue to 2 tbsp. of red, while Cody used 21 tbsp. of blue to 6 tbsp. of red.
To compare the ratios, we can simplify them by finding the greatest common divisor (GCD) of both the blue and red amounts.
For Aria's ratio: GCD(7, 2) = 1
For Cody's ratio: GCD(21, 6) = 3
Since the GCD of Aria's ratio is 1 and the GCD of Cody's ratio is 3, their ratios are not equivalent.
Therefore, the answer is: No, Cody's ratio has more blue.