By how many does the total number of unsubscribed viewers exceed the total…
2024
By how many does the total number of unsubscribed viewers exceed the total number of subscribed viewers across all five towns?
Answer: B. 240 — ConceptWhenever two disjoint groups partition a total, the size of one group equals the total minus the size of the other group. If a known subgroup is p% of…
- A.
320
- B.
240
- C.
340
- D.
300
Show answer & explanation
Correct answer: B
Concept
Whenever two disjoint groups partition a total, the size of one group equals the total minus the size of the other group.
If a known subgroup is p% of the grand total, then grand total = subgroup ÷ (p/100). Compare aggregate groups using their difference.
Application
Town E represents 20% of all viewers and has 1,200 viewers. Therefore, total viewers = 1,200 ÷ 0.20 = 6,000.
Total subscribed viewers = 440 + 500 + 880 + 700 + 360 = 2,880.
Total unsubscribed viewers = 6,000 − 2,880 = 3,120.
Required excess = 3,120 − 2,880 = 240 viewers.
Cross-check
Compute unsubscribed viewers town by town and add them:
Town | Total viewers | Subscribed | Unsubscribed |
|---|---|---|---|
A | 720 | 440 | 280 |
B | 900 | 500 | 400 |
C | 1,680 | 880 | 800 |
D | 1,500 | 700 | 800 |
E | 1,200 | 360 | 840 |
Total | 6,000 | 2,880 | 3,120 |
Both methods give the same result: unsubscribed viewers exceed subscribed viewers by 240.