Use the table to answer the question.
Cats Dogs Total
2 3 5
20 30 50
A ratio table is given showing cats and dogs for adoption. What is an equivalent part-to-part-to-whole ratios in a three-column table?
(1 point)
Responses
18:12:30
ratio of 18 to 12 to 30
13:12:25
ratio of 13 to 12 to 25
12:18:30
ratio of 12 to 18 to 30
12:13:25
ratio of 12 to 13 to 25
To find an equivalent part-to-part-to-whole ratio in a three-column table, we need to compare the number of cats, the number of dogs, and the total number of animals.
From the given table:
- Cats: 2
- Dogs: 3
- Total: 5
To find the equivalent ratio, we can assume a common multiplier and scale up the numbers while maintaining the same ratio.
Let's use the common multiplier of 5:
- Cats: 2 * 5 = 10
- Dogs: 3 * 5 = 15
- Total: 5 * 5 = 25
So, the equivalent part-to-part-to-whole ratio in a three-column table is 10:15:25.
To get the equivalent part-to-part-to-whole ratio, we need to find the ratio between the numbers in each column of the table.
Let's consider the first row of the table:
Cats: 2, Dogs: 3, Total: 5
To find the ratio between cats and dogs, we divide the number of cats by the number of dogs:
Cats/Dogs = 2/3
To find the ratio between cats and the total number of animals, we divide the number of cats by the total:
Cats/Total = 2/5
Similarly, we can find the ratios for the second row of the table:
Cats/Dogs = 20/30
Cats/Total = 20/50
Now, we can compare the ratios to find the equivalent part-to-part-to-whole ratio in a three-column table.
Looking at the given options, the correct equivalent ratio is 12:18:30.