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?
Options:
No,Cody’s has more blue
No, arias has more blue
No, Cody’s has more red
Yes, they are equivalent
Yes, they are equivalent.
To compare the ratios of the purple paint mixture between Cody and Aria, we can simplify the ratios by finding their common factors.
Aria used a ratio of 7 tbsp of blue to 2 tbsp of red.
To simplify this ratio, we can divide both numbers by their greatest common divisor, which is 1.
So, Aria's ratio simplifies to 7:2.
Cody used a ratio of 21 tbsp of blue to 6 tbsp of red.
To simplify this ratio, we can also divide both numbers by their greatest common divisor, which is 3.
So, Cody's ratio simplifies to 7:2.
Since both Aria's and Cody's ratios simplify to 7:2, they are equivalent. Therefore, the answer is:
Yes, they are 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.
First, let's calculate the ratio of blue to red in Aria's mixture:
Aria used 7 tbsp of blue and 2 tbsp of red.
So, the ratio of blue to red in Aria's mixture is 7:2.
Next, let's calculate the ratio of blue to red in Cody's mixture:
Cody used 21 tbsp of blue and 6 tbsp of red.
So, the ratio of blue to red in Cody's mixture is 21:6, which can be simplified to 7:2 as well.
Since both ratios are 7:2, Cody's and Aria's ratios of purple mixture are equivalent. The correct answer is:
Yes, they are equivalent.