Cody and aria are painting a mural they decide they want part of the mural to have 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 anothers
A: No, Aira's has more blue
B: No, Cody's has more blue
C: No, Cody's Has More Red
D: Yes, they are equivalent
To determine if the ratios of purple mixture are equivalent, we need to compare the amounts of blue and red used by both Aria and Cody.
Aria used 7 tbsp of blue and 2 tbsp of red, so the ratio of blue to red in Aria's purple mixture is 7:2.
Cody used 21 tbsp of blue and 6 tbsp of red, so the ratio of blue to red in Cody's purple mixture is 21:6, which can be further simplified to 7:2.
Therefore, the ratios of purple mixture used by Aria and Cody are equivalent. Thus, the answer is D: Yes, they are equivalent.
Are you sure?
Apologies for the confusion in my previous response. Let's calculate the ratios correctly this time.
Aria used 7 tbsp of blue and 2 tbsp of red, so the ratio of blue to red in Aria's purple mixture is 7:2.
Cody used 21 tbsp of blue and 6 tbsp of red, so the ratio of blue to red in Cody's purple mixture is 21:6, which can be simplified to 7:2 as well.
Since both ratios are the same, the answer is indeed D: Yes, they are equivalent.
To compare the ratios of purple mixture, we need to simplify the ratios of blue to red for both Aria and Cody.
For Aria:
Blue to Red ratio = 7 tbsp of blue : 2 tbsp of red
For Cody:
Blue to Red ratio = 21 tbsp of blue : 6 tbsp of red
To simplify the ratios, we need to find a common factor for both the blue and red values. The common factor for 7, 2, 21, and 6 is 7.
For Aria:
7 tbsp of blue / 7 = 1 tbsp of blue
2 tbsp of red / 7 = 2/7 tbsp of red
For Cody:
21 tbsp of blue / 7 = 3 tbsp of blue
6 tbsp of red / 7 = 6/7 tbsp of red
Now we can compare the simplified ratios:
Aria: 1 tbsp of blue : 2/7 tbsp of red
Cody: 3 tbsp of blue : 6/7 tbsp of red
Since Cody's ratio has more blue than Aria's ratio, the correct answer is B: No, Cody's has more blue.
To compare the ratios of the purple mixture made by Aria and Cody, we need to simplify the ratios and determine if they are equal.
First, let's simplify Aria's ratio of blue to red: 7 tbsp blue to 2 tbsp red.
To find the equivalent ratio, we need to divide both numbers by their greatest common divisor (GCD). The GCD of 7 and 2 is 1, so the simplified ratio is 7 tbsp blue to 2 tbsp red.
Next, let's simplify Cody's ratio of blue to red: 21 tbsp blue to 6 tbsp red.
The GCD of 21 and 6 is 3, so the simplified ratio is 7 tbsp blue to 2 tbsp red.
Both Aria's and Cody's simplified ratios are the same: 7 tbsp blue to 2 tbsp red.
Therefore, the answer is:
D: Yes, they are equivalent.