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13 Jan 2026, 11:52
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Nexus: 3,600
Echo: 700
On January 1 of 2025, Website Nexus had 1,000 registered users, and Website Echo had 1,600 registered users. Each site gained a constant number of new users every month, and by May 1, 2025, Website Nexus had 250% more registered users than Website Echo.
In the table, select for Nexus the number of registered users it gained per month and select for Echo the number of registered users it gained per month that would be jointly consistent with the given information. Make only two selections, one in each column.
In the table, select for Nexus the number of registered users it gained per month and select for Echo the number of registered users it gained per month that would be jointly consistent with the given information. Make only two selections, one in each column.
| Nexus | Echo | |
| 200 | ||
| 300 | ||
| 700 | ||
| 1,500 | ||
| 2,100 | ||
| 3,600 |
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Official Answer
Nexus: 3,600
Echo: 700
13 Jan 2026, 11:52
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Official Solution:
Let \(x\) be the number of new users Website Nexus gains per month, and \(y\) be the number of new users Website Echo gains per month. The time from January 1 to May 1 is 4 months, so after 4 months:
• Website Nexus will have \(1,000 + 4x\) users.
• Website Echo will have \(1,600 + 4y\) users.
We are told that by May 1, 2025, Website Nexus had 250% more users than Website Echo, which means Website Nexus had 3.5 times as many users as Website Echo. So, the equation becomes:
\(1,000 + 4x = 3.5 * (1,600 + 4y)\)
\(2x = 2,300 + 7y\)
Now, we test the possible values for \(y\) from the given options.
When \(y = 700\):
\(2x = 2,300 + 7 * 700 = 7,200\)
\(x = 3,600\)
Both 700 and 3600 are in the list. No other pair satisfies the equation.
Thus, Website Nexus gains 3,600 users per month, and Website Echo gains 700 users per month.
Correct answer:
Nexus "3,600"
Echo "700"
Bunuel
Let \(x\) be the number of new users Website Nexus gains per month, and \(y\) be the number of new users Website Echo gains per month. The time from January 1 to May 1 is 4 months, so after 4 months:
• Website Nexus will have \(1,000 + 4x\) users.
• Website Echo will have \(1,600 + 4y\) users.
We are told that by May 1, 2025, Website Nexus had 250% more users than Website Echo, which means Website Nexus had 3.5 times as many users as Website Echo. So, the equation becomes:
\(1,000 + 4x = 3.5 * (1,600 + 4y)\)
\(2x = 2,300 + 7y\)
Now, we test the possible values for \(y\) from the given options.
When \(y = 700\):
\(2x = 2,300 + 7 * 700 = 7,200\)
\(x = 3,600\)
Both 700 and 3600 are in the list. No other pair satisfies the equation.
Thus, Website Nexus gains 3,600 users per month, and Website Echo gains 700 users per month.
Correct answer:
Nexus "3,600"
Echo "700"
14 Apr 2026, 23:36
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Is x% more always considered to be (x+100)% of that entity? Because I remember seeing some problem somewhere where x% more meant x% of that entity.
Could you please help me out here. Thanks!
Could you please help me out here. Thanks!
Bunuel
