Compare the ratios 2:5 and 3:7 using the following tables. Finish the tables by filling in the missing values A and B. Which ratio is greater? 2 5 4 10 6 15 8 20 10 25 12 30 A 35 3 7 6 14 9 21 12 28 15 B 18 42 21 49(2 points) Missing Value A = . Missing Value B = . The ratio is greater.

Answer 1

To compare the ratios 2:5 and 3:7, we can fill in the missing values in the tables.

Table for 2:5 ratio:
2 5 --> 4 10 --> 6 15 --> 8 20 --> 10 25 --> 12 30 --> A 35

Table for 3:7 ratio:
3 7 --> 6 14 --> 9 21 --> 12 28 --> 15 B --> 18 42 --> 21 49

Now, we can determine the missing values A and B by continuing the pattern in each table.

For the table of 2:5 ratio, we can deduce that if you multiply the first number by 2, you get the second number. Applying this pattern to the last known values (12 and 30), we can find that A would be 35 (12 multiplied by 2 equals 24, and 30 multiplied by 2 equals 60, so the missing value is 35).

For the table of 3:7 ratio, we can observe that if you multiply the first number by 2, you get the second number, then multiply the second number by 3, you get the third number. Applying this pattern to the last known values (15 and 42), we can deduce that B would be 49 (15 multiplied by 2 equals 30, and 42 multiplied by 3 equals 126, so the missing value is 49).

Therefore, Missing Value A = 35 and Missing Value B = 49.

To determine which ratio is greater, we can compare the last values in each table. The last value in the table for 2:5 ratio is 35, and the last value in the table for 3:7 ratio is 49. Since 49 is greater than 35, the ratio 3:7 is greater than the ratio 2:5.