Use the table to answer the question.
Total
11 7 18
110 70 180
A part-to-part-to whole table is shown. What is an equivalent ratio?
(1 point)
Responses
21:33:54
ratio of 21 to 33 to 54
10:14:24
ratio of 10 to 14 to 24
33:21:54
ratio of 33 to 21 to 54
14:10:24
ratio of 14 to 10 to 24
The correct answer is:
10:14:24
This ratio is equivalent to the given part-to-part-to whole table.
To find an equivalent ratio, we need to find two ratios that are equal to the given ratio. Looking at the table, the ratio of the first row to the second row is 11:110, 7:70, and 18:180.
Simplifying these ratios, we get the ratios:
11:110 = 1:10
7:70 = 1:10
18:180 = 1:10
Therefore, the equivalent ratio is 1:10.
To find an equivalent ratio, compare the corresponding values in the table. Let's look at the first row of numbers (11, 7, 18) and the second row of numbers (110, 70, 180).
To create an equivalent ratio, divide all the numbers in one row by a common factor until you get smaller numbers. In this case, we can divide the row of numbers by 10 to simplify them.
Dividing (11, 7, 18) by 10 gives us (1.1, 0.7, 1.8).
Dividing (110, 70, 180) by 10 gives us (11, 7, 18).
Now we have an equivalent ratio: (1.1, 0.7, 1.8) is equivalent to (11, 7, 18).
Comparing the options given, the equivalent ratio is 10:14:24.