SAT Math Multiple Choice Question 740: Answer and Explanation
5. A website received 2,100 visitors in July from both subscribers and nonsubscribers. If the ratio of subscribers to nonsubscribers among this group was 2:5, how many more nonsubscribers visited the site in July than subscribers?
- A. 126
- B. 630
- C. 900
- D. 1,260
Correct Answer: C
Problem Solving and Data Analysis (ratios) MEDIUM
If the ratio of subscribers to nonsubscribers is 2:5, then we can say there are 2n subscribers and 5n non-subscribers, where n is some integer. This means there were a total of 2n + 5n = 7n July visitors to the website. Since we know that there were 2,100 visitors in July, we can solve for n:
2,100 = 7n
Divide by 7:
300 = n
Therefore, there were 2(300) = 600 subscriber visits and 5(300) = 1,500 nonsubscriber visits, and so there were 1,500 - 600 = 900 more nonsubscribing visitors than subscribing visitors.