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28 Jan 2024, 10:29
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E
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Difficulty:
25%
(medium)
Question Stats:
75% (01:07) correct
25%
(01:08)
wrong
based on 557
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An intensive effort was made to expand the database of alumni names for a certain high school. The number of names in the database increased by 1,300 percent of the original number of 1,500 names. How many names were in the expanded database?
A. 1,950
B. 2,800
C. 16,300
D. 19,500
E. 21,000
2024-01-28_21-21-25.png [ 44.08 KiB | Viewed 7317 times ]
A. 1,950
B. 2,800
C. 16,300
D. 19,500
E. 21,000
Attachment:
2024-01-28_21-21-25.png [ 44.08 KiB | Viewed 7317 times ]
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28 Jan 2024, 10:32
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guddo
Essentially, we need to find the value which is 1,300% greater than 1,500, which will be:
- \(1,500(1 + \frac{1,300}{100}) = \)
\(=1,500*14 = \)
\(=21,000\)
Answer: E.
General Discussion
30 Oct 2024, 15:58
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An intensive effort was made to expand the database of alumni names for a certain high school. The number of names in the database increased by 1,300 percent of the original number of 1,500 names. How many names were in the expanded database?
The math involved in answering this question is relatively simple. At the same time, the question is a little tricky to answer correctly because we have to make sure we answer the question asked, which is that of how many names were "in the expanded database."
In other words, we have to make sure the answer choice we select is the total number of names in the database after the increase and not just the size of the increase.
The number of names increased by 1,300 percent. So, the total number of names is 1,500 + (13 × 1,500) = 14 × 1,500 = 21,000.
A. 1,950
B. 2,800
C. 16,300
D. 19,500
E. 21,000
(We could quickly see which answer is correct without completing the multiplication 14 × 1500 by noticing that only 21,000 could be 1,500 multiplied by an even number since 1500 × an even number must be a multiple of 3000.)
Correct answer: E
The math involved in answering this question is relatively simple. At the same time, the question is a little tricky to answer correctly because we have to make sure we answer the question asked, which is that of how many names were "in the expanded database."
In other words, we have to make sure the answer choice we select is the total number of names in the database after the increase and not just the size of the increase.
The number of names increased by 1,300 percent. So, the total number of names is 1,500 + (13 × 1,500) = 14 × 1,500 = 21,000.
A. 1,950
B. 2,800
C. 16,300
D. 19,500
E. 21,000
(We could quickly see which answer is correct without completing the multiplication 14 × 1500 by noticing that only 21,000 could be 1,500 multiplied by an even number since 1500 × an even number must be a multiple of 3000.)
Correct answer: E
