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?

Question

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.
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Answer 1

To compare the ratios 2:5 and 3:7, we can simplify them by dividing both numbers in each ratio by their greatest common factor.

For the ratio 2:5, the greatest common factor is 1. So the simplified ratio is 2/1 : 5/1 = 2:5.

For the ratio 3:7, the greatest common factor is 1. So the simplified ratio is 3/1 : 7/1 = 3:7.

Now, let's fill in the missing values in the tables:

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

To find the missing values, we can multiply the second number in each row of the first table by 7/5 to match the ratio 2:5.

A = 35 * (7/5) = 49
So, Missing Value A = 49.

To find the missing values, we can multiply the second number in each row of the second table by 5/7 to match the ratio 3:7.

B = 15 * (5/7) = 10.71 (rounded to two decimal places)
So, Missing Value B = 10.71.

Since the ratio 2:5 is less than the ratio 3:7, we can conclude that the ratio 3:7 is greater.

Answer 2

It’s wrong