Question

What is the ratio of 5:2 in fraction form?(1 point)

The ratio 5:2 can be written as a fraction by placing 5 as the numerator and 2 as the denominator. Therefore, the ratio 5:2 in fraction form is 5/2.

Albie is comparing the ratio of students in her class that are wearing the color green to the total number of students in her class. She finds out of 30 students in her class, 7 are wearing green. What kind of ratio relationship is she using?(1 point)

Responses

part-to-part relationship
part-to-part relationship

whole relationship
whole relationship

part relationship
part relationship

part-to-whole relationship

Albie is using a part-to-whole relationship. She is comparing the part of the students wearing green (7) to the whole number of students in her class (30).

Which of the following ratios is equivalent to 3/2 ?(1 point)

Responses

1
1

9/6

2/3

9/4

The ratio 3/2 is equivalent to the ratio 9/6.

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 red.
No, Cody’s has more red.

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

Yes, they are equivalent.

To compare the ratios of the purple mixture, we need to simplify them.

Aria's ratio: 7 tbsp. of blue to 2 tbsp. of red.
Cody's ratio: 21 tbsp. of blue to 6 tbsp. of red.

To simplify Aria's ratio, we divide both parts by the greatest common divisor, which is 1:
7/1 : 2/1

To simplify Cody's ratio, we divide both parts by the greatest common divisor, which is 3:
21/3 : 6/3

Simplifying both ratios, we get:
7/1 : 2/1 = 7 : 2
21/3 : 6/3 = 7 : 2

Therefore, their ratios of the purple mixture (7:2) are equivalent to each other, so the correct answer is: Yes, they are equivalent.