Final answer:
To select ratios equivalent to 20:15, we compare the given ratios to check if they are equal. The correct options are 12:9 and 8:6.
Step-by-step explanation:
To select ratios equivalent to 20:15, we need to compare the ratios and check if they are equal. Let's check the given options:
Option 1: 12:9. To check if this ratio is equivalent, we can simplify it by dividing both numbers by 3. 12 divided by 3 is 4, and 9 divided by 3 is 3. So, the ratio 12:9 is equivalent to 4:3.
Option 2: 10:3. To simplify this ratio, we can't divide both numbers by the same factor, so it is not equivalent to 20:15.
Option 3: 8:6. We can simplify this ratio by dividing both numbers by 2. 8 divided by 2 is 4, and 6 divided by 2 is 3. So, the ratio 8:6 is equivalent to 4:3.
The ratios 12:9 and 8:6 are equivalent to 20:15. Therefore, the correct options are Option 1: 12:9 and Option 3: 8:6.