Final answer:
The equivalent ratio to 8 : 15 from the given options is 32-60 as both 32 and 60 can be divided by 4 to result in an equivalent comparison to the original ratio of 8 : 15.
Step-by-step explanation:
The question is asking to identify the ratio that is equivalent to 8 : 15. An equivalent ratio is one that has the same relative size or value as another when both are simplified. To find equivalent ratios, we can either multiply or divide both terms of the original ratio by the same number.
- To check option a (24 - 30), we divide both numbers by the same factor: 24 ÷ 8 = 3 and 30 ÷ 15 = 2, which means this is not equivalent.
- For option b (32-60), if we do the same, 32 ÷ 8 = 4 and 60 ÷ 15 = 4, which tells us that this ratio is indeed equivalent.
- Looking at option c (1:7), it is clear that this does not match the original ratio.
- Finally, option d (48: 60), when simplified by dividing both terms by 12, we get 4:5, which is also not equivalent to 8:15.
Therefore, the equivalent ratio to 8 : 15 is option b, 32-60.