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Currently, on a certain website, out of all online users, 2,400 are registered users, and 1,000 are male. How many users are currently online?
(1) The number of online female users is twice the number of online unregistered users.
(2) Among the online users, 800 are registered males.
(1) The number of online female users is twice the number of online unregistered users.
(2) Among the online users, 800 are registered males.
08 Jan 2025, 05:10
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Official Solution:
Currently, on a certain website, out of all online users, 2,400 are registered users, and 1,000 are male. How many users are currently online?
Let T represent the total number of online users. The breakdown is as follows:
(1) The number of online female users is twice the number of online unregistered users.
This implies that T - 1,000 = 2(T - 2,400), which gives T = 3,800. Sufficient.
(2) Among the online users, 800 are registered males.
This gives the following breakdown:
From this, we still do not have enough information to determine the total number of online users, T. Not sufficient.
Answer: A
Currently, on a certain website, out of all online users, 2,400 are registered users, and 1,000 are male. How many users are currently online?
Let T represent the total number of online users. The breakdown is as follows:
| Registered | Un-registered | TOTAL | |
| Male | 1,000 | ||
| Female | T - 1,000 | ||
| TOTAL | 2,400 | T - 2,400 | T |
(1) The number of online female users is twice the number of online unregistered users.
This implies that T - 1,000 = 2(T - 2,400), which gives T = 3,800. Sufficient.
(2) Among the online users, 800 are registered males.
This gives the following breakdown:
| Registered | Un-registered | TOTAL | |
| Male | 800 | 200 | 1,000 |
| Female | 1,600 | T - 1,000 | |
| TOTAL | 2,400 | T - 2,400 | T |
From this, we still do not have enough information to determine the total number of online users, T. Not sufficient.
Answer: A
