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03 Oct 2024, 01:30
Kudos
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
87% (01:34) correct
13%
(01:34)
wrong
based on 95
sessions
History
Date
Time
Result
Not Attempted Yet
A university professor received a government grant of M dollars to be spent on research during the year. 25 percent of the grant was appropriated by the university, so the professor used 20 percent of what was left to buy lab equipment. What percent of the original sum of M dollars was either given to the university or spent on lab equipment?
A. 0.25
B. 0.4
C. 0.45
D. 0.47
E. 0.5
A. 0.25
B. 0.4
C. 0.45
D. 0.47
E. 0.5
03 Oct 2024, 02:32
Kudos
Bookmarks
B. 0.4
0.4
- The professor received a grant of MMM dollars.
- University Appropriation: The university appropriated 25% of the grant:
0.25M0.25M0.25M - Amount Left After Appropriation: The amount remaining after the university's appropriation is:
M−0.25M=0.75MM - 0.25M = 0.75MM−0.25M=0.75M - Lab Equipment Purchase: The professor used 20% of the remaining amount to buy lab equipment:
0.20×0.75M=0.15M0.20 \times 0.75M = 0.15M0.20×0.75M=0.15M - Total Amount Given or Spent: Now, we need to find the total amount that was either given to the university or spent on lab equipment:
0.25M+0.15M=0.40M0.25M + 0.15M = 0.40M0.25M+0.15M=0.40M - Percentage of the Original Sum: To find what percent of the original sum MMM this total amount represents, we can express it as:
0.40MM×100%=40%\frac{0.40M}{M} \times 100\% = 40\%M0.40M×100%=40%
0.4
03 Oct 2024, 02:59
Kudos
Bookmarks
Bunuel
Means from this
Quote:
Professor used 20% of whatever was left \(= \frac{1}{5} * \frac{3}{4} * M = 0.15M \)
Therefore, original sum of M dollars was either given to the university or spent on lab equipment \(= 0.25M + 0.15M = 0.4M\)
This means 40% of M
Answer is B.
