Final answer:
Upon simplifying each given ratio (A) 28:100, (B) 14:50, (C) 7:25, and (D) 21:75, it can be determined that all ratios are equivalent, as they all simplify to the basic ratio of 7:25.
Step-by-step explanation:
The question involves determining whether the given ratios are equivalent to each other. To do this, we must simplify each ratio to its lowest terms and see if they are all the same. Let's look at each one:
- A) 28:100 can be simplified by dividing both terms by 4, yielding 7:25.
- B) 14:50 can be simplified by dividing both terms by 2, resulting in 7:25.
- C) 7:25 is already in its simplest form.
- D) 21:75 can be simplified by dividing both terms by 3, resulting in 7:25.
After simplifying, we can see that all the ratios are equivalent because they all reduce to 7:25.