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The table shows the ratio of cups of water to cups of juice needed for a certain number of servings.

Question 1
A)
The table shows the ratio of cups of water to cups of juice needed for a certain number of servings.

Examine the table of equivalent ratios and complete this statement.



For 5 servings, the ratio of cups of water to cups of juice should be _____

(1 point)
Responses

3:5
3:5

3:2
3:2

5:20
5:20

5:10
5:10
Question 2
A)
Making a certain shade of paint requires mixing 3 parts silver with 4 parts green. Meg uses this data to start this table of equivalent ratios.

Which ratios are equivalent to 3 parts silver paint to 4 parts green paint? Check the two that apply.

(2 points)
Responses

5:6
5:6

9:12
9:12

4:5
4:5

6:8
6:8
Question 3
A)
Meg mixes 3 parts silver paint with 4 parts green paint to get a specific color.

Is the ratio 5:6 equivalent to 3:4?

(1 point)
Responses

Yes, because any combination of silver and green will work.
Yes, because any combination of silver and green will work.

No, because there cannot be more than 4 green parts.
No, because there cannot be more than 4 green parts.

Yes, because both ratios show a pair of numbers that have a difference of 1.
Yes, because both ratios show a pair of numbers that have a difference of 1.

No, because the numbers in the given ratio must be multiplied by the same number.
No, because the numbers in the given ratio must be multiplied by the same number.
Question 4
A)
This table shows the ratio of parts of red paint to parts of white paint.

(1 point)
Complete this statement about the ratios.

The amount of red paint is always multiplied by
to get the amount of white paint.
Examine the table of equivalent ratios and complete this statement.



For 5 servings, the ratio of cups of water to cups of juice should be _____

(1 point)
Responses

5:10
5:10

3:5
3:5

3:2
3:2

5:20
5:20
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1 answer

Let's answer each question based on the information provided.

Question 1: For 5 servings, the ratio of cups of water to cups of juice should be _____.

Without the actual table to reference, I can infer from common ratios that if for a smaller number of servings (let's say 3 servings), the ratio is, for example, 3:2 (water:juice), we need to extend this to 5 servings. To achieve this correctly, we would typically apply proportional reasoning. Without the specific context, I can't definitively provide the answer, but if I follow common practice, many times it might lean towards looking like one of the options provided.

Assuming a common ratio, the answer could be: 3:2 (if that's a typical setup and matches common paint mixing practices, but check the options in your table).

Question 2: Which ratios are equivalent to 3 parts silver paint to 4 parts green paint? Check the two that apply.

To find equivalent ratios, we can multiply the original ratio (3:4) by the same whole number.

  • 5:6 does not match as an equivalent.
  • 9:12 is equivalent (9 = 33, 12 = 43).
  • 4:5 does not match.
  • 6:8 is equivalent (6 = 32, 8 = 42).

Thus, the two correct answers are:

  • 9:12
  • 6:8

Question 3: Is the ratio 5:6 equivalent to 3:4?

To determine if two ratios are equivalent, we can cross-multiply:

  • For 3:4 and 5:6: (3 * 6) vs (4 * 5)
  • 18 vs 20 → They are not equivalent.

So, the correct response is:

  • No, because the numbers in the given ratio must be multiplied by the same number.

Question 4: The statement is asking to complete with a numerical value.

Without the specific table provided for the ratio of parts of red paint to parts of white paint, normative ratios typically presented could be something like 1 part red to 2 parts white, meaning that the amount of red paint is multiplied by 2 to get white, yielding expressions such as 1:2 (then 2:4, and so on).

If I follow standard practices and make the assumption:

  • Given a common ratio of red to white, you might conclude that the red paint amount is multiplied by 2, if that corresponds to what you're looking for.

If I can help you further or you can provide more specifics, I'd be happy to delve deeper!