Use the table to answer the question.
Red Marbles Blue Marbles
4 5
12 15
32 40
This two-column table displays the number of red marbles and blue marbles in a bag. What is an equivalent part-to-part ratio?
(1 point)
Responses
25 red:24 blue
ratio of 25 red to 24 blue
24 red:25 blue
ratio of 24 red to 25 blue
60 red:48 blue
ratio of 60 red to 48 blue
48 red:60 blue
ratio of 48 red to 60 blue
To find an equivalent part-to-part ratio, we need to simplify the given ratio of red marbles to blue marbles for each row.
For the first row, the ratio of red to blue marbles is 4:5.
For the second row, the ratio of red to blue marbles is 12:15.
For the third row, the ratio of red to blue marbles is 32:40.
To find an equivalent part-to-part ratio, we should simplify these ratios.
Simplifying the ratio 4:5, we get 4/1:5/1, which simplifies to 4:5.
Simplifying the ratio 12:15, we get 4/3:5/3, which simplifies to 4:5.
Simplifying the ratio 32:40, we get 8/10:10/10, which simplifies to 4:5.
Therefore, an equivalent part-to-part ratio for the given table is 4 red:5 blue.
To find an equivalent part-to-part ratio, we need to determine the common factor between the number of red and blue marbles in each row of the table.
Looking at the table, we can find the common factor for the number of red and blue marbles in each row.
For the first row: 4 and 5 do not have a common factor.
For the second row: 12 and 15 have a common factor of 3.
For the third row: 32 and 40 have a common factor of 8.
To calculate the equivalent part-to-part ratio, divide both the number of red marbles and the number of blue marbles by the common factor.
For the second row, the equivalent part-to-part ratio is: 12 divided by 3 = 4 red marbles and 15 divided by 3 = 5 blue marbles. Therefore, the ratio is 4 red to 5 blue, which matches the first option, "ratio of 4 red to 5 blue."
In summary, the answer is "ratio of 4 red to 5 blue."