Final answer:
Options c (30/25) and d (24/20) are the two ratios equivalent to the given ratio of white socks to brown socks, which is 6/5, as they can be simplified to the original ratio.
Step-by-step explanation:
The student's question deals with finding ratios equivalent to a given ratio of white socks to brown socks, which is 6/5. To find equivalent ratios, you must multiply or divide both terms of the original ratio by the same non-zero number. Looking at the options:
- a. 20/25 = (6/5) × (4/5) - Not equivalent because the multiplier for the numerator and denominator is not the same.
- b. 30/26 - This is not equivalent because 30/26 cannot be simplified to 6/5.
- c. 30/25 = (6/5) × (5/5) - Equivalent because multiplying 6/5 by 1 (which is 5/5) does not change the ratio.
- d. 24/20 = (6/5) × (4/4) - Equivalent because multiplying the ratio by 1 (which is 4/4) does not change the ratio.
Options c and d are the correct answers as they are equivalent to the original ratio of 6/5.