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?

Answer 1

To find an equivalent part-to-part-to-whole ratio in a three-column table, we need to find a common factor or multiple between the two given ratios.

Let's say the given ratio table is:

Quarts of red paint | Quarts of yellow paint
-----------------------------
4 | 6
2 | 3
8 | 12
5 | 7

To find an equivalent part-to-part-to-whole ratio, we need to choose a common factor or multiple that can be applied to both the red and yellow paint columns.

In this case, we can see that if we multiply both columns by 2, we get:

Quarts of red paint | Quarts of yellow paint
-----------------------------
8 | 12
4 | 6
16 | 24
10 | 14

These ratios can be written in the form of a three-column table:

Part 1 | Part 2 | Whole
-----------------------------
8 | 12 | 20
4 | 6 | 10
16 | 24 | 40
10 | 14 | 24

Therefore, an equivalent part-to-part-to-whole ratio in a three-column table is shown above.