Use the table to answer the question.
Quarts of Red Paint Quarts of Yellow Paint Totals
3 2 5
21 14 35
A ratio table is given showing quarts of red and yellow paint. What is an equivalent part-to-part-to-whole ratios in a three-column table?
(1 point)
Responses
10:15:25
ratio of 10 to 15 to 25
22:23:45
ratio of 22 to 23 to 45
15:10:25
ratio of 15 to 10 to 25
23:22:45
ratio of 23 to 22 to 45
The equivalent part-to-part-to-whole ratio in a three-column table is:
15:10:25
ratio of 15 to 10 to 25
To find an equivalent part-to-part-to-whole ratio in a three-column table using the given ratios, we can use the total number of quarts as the whole.
In the table, the total number of quarts in the first row is 5, and in the second row, it is 35.
To calculate the equivalent ratios, we can divide each value in the given ratios by the total number of quarts in the first row (5) and the second row (35).
For the first row:
- Divide 3 quarts of red paint by 5 (total number of quarts in the first row) to get 0.6.
- Divide 2 quarts of yellow paint by 5 (total number of quarts in the first row) to get 0.4.
Thus, the equivalent ratio for the first row is 0.6:0.4:1 (part-to-part-to-whole).
For the second row:
- Divide 21 quarts of red paint by 35 (total number of quarts in the second row) to get 0.6.
- Divide 14 quarts of yellow paint by 35 (total number of quarts in the second row) to get 0.4.
Thus, the equivalent ratio for the second row is 0.6:0.4:1 (part-to-part-to-whole).
Therefore, the correct answer is:
0.6:0.4:1