Answer:
5
Explanation:
The ratios 25 to 5 and 10 to 2 are equivalent ratios because they have the same ratio value. To understand why, you need to break down the ratios.
Ratio 25 to 5 means that for every 25 units of something, there are 5 units of another thing. Similarly, ratio 10 to 2 means that for every 10 units of something, there are 2 units of another thing.
To check if these ratios are equivalent, you need to find the ratio value for each. To do this, you divide the first number of each ratio by the second number:
For ratio 25 to 5: 25 ÷ 5 = 5
For ratio 10 to 2: 10 ÷ 2 = 5
Both ratios have a ratio value of 5, which means they are equivalent.
In simpler terms, both ratios represent the same relationship between two sets of numbers. For every 25 units of something, there are 5 units of another thing. And for every 10 units of something, there are 2 units of another thing. The ratio value of 5 shows that the relationship between the two sets of numbers is the same in both ratios.
So, 25 to 5 and 10 to 2 are equivalent ratios because they have the same ratio value of 5.