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
22:23:45
ratio of 22 to 23 to 45
10:15:25
ratio of 10 to 15 to 25
15:10:25
ratio of 15 to 10 to 25
23:22:45
ratio of 23 to 22 to 45
The correct answer is:
10:15:25
ratio of 10 to 15 to 25
To find an equivalent part-to-part-to-whole ratio, we need to find a common multiplier for the quarts of red and yellow paint in the given table.
The quarts of red paint ratio is 3:21, which simplifies to 1:7 when divided by 3.
The quarts of yellow paint ratio is 2:14, which simplifies to 1:7 when divided by 2.
Since both ratios simplify to 1:7, the equivalent part-to-part-to-whole ratio in a three-column table would be:
1:7:35
Therefore, the correct answer is: ratio of 1 to 7 to 35.
To find an equivalent part-to-part-to-whole ratio in a three-column table, we need to find a common factor for the quarts of red paint, quarts of yellow paint, and totals in the given ratio table.
Looking at the first row in the table:
Quarts of Red Paint: 3
Quarts of Yellow Paint: 2
Totals: 5
We can see that each number can be multiplied by 5 to get the totals. So, let's multiply each number in the row by 5:
Quarts of Red Paint: 3 * 5 = 15
Quarts of Yellow Paint: 2 * 5 = 10
Totals: 5 * 5 = 25
Now, we have an equivalent row:
Quarts of Red Paint: 15
Quarts of Yellow Paint: 10
Totals: 25
The equivalent part-to-part-to-whole ratio in a three-column table is 15:10:25. Therefore, the correct answer is:
15:10:25