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.
No, Cody’s has more blue.
No, Cody’s has more blue.
No, Aria’s has more blue.
No, Aria’s has more blue.
Yes, they are equivalent.
No, they are not equivalent.
a b c or d
D) No, they are not equivalent.
To determine if Cody's and Aria's ratios of purple mixture are equivalent, we need to compare the ratios of blue to red in their mixtures.
Aria uses 7 tbsp. of blue to 2 tbsp. of red, which simplifies to a ratio of 7:2.
Cody, on the other hand, uses 21 tbsp. of blue to 6 tbsp. of red, which simplifies to a ratio of 21:6.
To see if these ratios are equivalent, we can simplify them further by finding the greatest common divisor (GCD) of the numbers in each ratio.
For Aria's ratio, the GCD of 7 and 2 is 1. So, the simplified ratio is 7:2.
For Cody's ratio, the GCD of 21 and 6 is 3. So, the simplified ratio is 7:2 as well.
Since both ratios simplify to the same ratio of 7:2, we can conclude that Cody's and Aria's ratios of purple mixture are equivalent.
Therefore, the correct answer is: Yes, they are equivalent.