1. Albie is comparing the ratio to 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?
A. whole relationship
B. part-to-part relationship
C. part-to-whole relationship
D. part relationship
2. Niko has a jar of candy containing strawberry, butterscotch, and root beer flavors. If there are 10 strawberry, 13 butterscotch, and 7 root beer candies, which ratio shows the quantity of the strawberry-flavored candy to the total number of candies Niko owns?
A. 10:13
B. 7:30
C. 13:30
D. 10:30
3. Which of the following ratios is equivalent to 3/2?
A. 9/4
B. 1
C. 2/3
D. 9/6
4.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?
A. No, Cody's has more red
B. Yes, they are equivalent
C. No, Aria's has more blue
D. No, Cody's has more blue
1. Answer: C. part-to-whole relationship
2. Answer: D. 10:30
3. Answer: C. 2/3
4. Answer: B. Yes, they are equivalent
1. Albie is comparing the ratio of students wearing green to the total number of students in her class. This is called a part-to-whole relationship. She is looking at a part (the number of students wearing green) in relation to the whole (the total number of students in the class). So the correct answer is C. part-to-whole relationship.
To get this answer:
Step 1: Identify what Albie is comparing in the ratio. In this case, it is the number of students wearing green to the total number of students in her class.
Step 2: Determine the relationship between the two quantities. The comparison is between a part (students wearing green) and the whole (total number of students in the class).
Step 3: Choose the option that best describes the relationship. In this case, the correct option is C. part-to-whole relationship.
2. Niko has a jar of candy with different flavors. The ratio we need to find is the quantity of strawberry-flavored candy to the total number of candies Niko owns.
To get this answer:
Step 1: Identify what we need to compare in the ratio. In this case, it is the quantity of strawberry-flavored candy to the total number of candies Niko owns.
Step 2: Write down the quantities involved. Niko has 10 strawberry candies. The total number of candies Niko owns is 10 + 13 + 7 = 30 candies.
Step 3: Set up the ratio. The quantity of strawberry-flavored candy to the total number of candies is 10:30.
Step 4: Simplify the ratio if possible. In this case, we can simplify the ratio by dividing both numbers by 10. The simplified ratio is 1:3.
So, the correct answer is B. 1:3.
3. We need to find an equivalent ratio to 3/2.
To get this answer:
Step 1: Write down the given ratio, which is 3/2.
Step 2: Multiply or divide both numbers of the given ratio by the same nonzero value.
Step 3: Check the answer options. The only option that gives us an equivalent ratio is D. 9/6.
So, the correct answer is D. 9/6.
4. Cody and Aria are using different ratios to make their purple paint.
To get this answer:
Step 1: Write down the ratios used by Aria and Cody. Aria uses 7 tbsp. of blue to 2 tbsp. of red, while Cody uses 21 tbsp. of blue to 6 tbsp. of red.
Step 2: Compare the two ratios. In this case, we can compare the ratios by cross multiplying. Aria's ratio gives us 7 * 6 = 42 blue and 2 * 21 = 42 red. Cody's ratio gives us 21 * 2 = 42 blue and 6 * 7 = 42 red.
Step 3: Compare the results. Both ratios result in an equal amount of blue and red, so the ratios are equivalent.
So, the correct answer is B. Yes, they are equivalent.
1. C. part-to-whole relationship
2. B. 7:30
3. C. 2/3
4. B. Yes, they are equivalent