Question

Question

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, Aria’s has more blue.
No, Aria’s has more blue.

No, Cody’s has more blue.
No, Cody’s has more blue.

Yes, they are equivalent.
Yes, they are equivalent.

No, Cody’s has more red.

Answer 1

To determine if Aria's and Cody's ratios of purple mixture are equivalent, we can simplify each person's paint mixture ratio.

Aria uses 7 tbsp. of blue to 2 tbsp. of red, which gives us the ratio of:

• Blue : Red = 7 : 2

Cody uses 21 tbsp. of blue to 6 tbsp. of red, which gives us the ratio of:

• Blue : Red = 21 : 6

Next, we simplify Cody's ratio:

• Divide both parts of the ratio by 3:
  • 21 ÷ 3 = 7
  • 6 ÷ 3 = 2

So, Cody's simplified ratio is:

• Blue : Red = 7 : 2

Since both Aria's and Cody's simplified ratios are 7 : 2, we can conclude that their ratios of purple mixture are equivalent.

Thus, the correct response is: Yes, they are equivalent.