Final answer:
None of the options A, B, C, or D correctly match the solution to the proportion 15/10 = n/5. The correct answer, after cross-multiplying and dividing both sides by 10, is n = 7.5, which is not listed among the choices.
Step-by-step explanation:
To solve the proportion 15/10 = n/5, we can cross-multiply to find the value of n. Cross-multiplying gives us 15 × 5 = 10 × n, which simplifies to 75 = 10n. To find n, we divide both sides of the equation by 10, resulting in n = 7.5. However, this answer is not listed in the options. Upon careful reevaluation, it seems there may have been a misunderstanding, as the reduction of the original ratio 15/10, which is equivalent to 3/2 or 1.5, should have been considered, which then when compared to the proportion n/5 would lead to n = 1.5 × 5 = 7.5. In this case, no option matches the correct answer, therefore there might be a typo or error in the options provided.