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Difficulty:
35%
(medium)
Question Stats:
76% (01:40) correct
24%
(02:04)
wrong
based on 390
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In a locker room each row of lockers has the same number of lockers, and the number of rows is \(\frac{1}{2}\) the number of lockers in a row. How many lockers are in a row?
(1) There is a total of 72 lockers in the locker room.
(2) In the locker room, the number of rows is 6 less than the number of lockers in a row.
2024-01-24_15-10-29.png [ 40.82 KiB | Viewed 5942 times ]
(1) There is a total of 72 lockers in the locker room.
(2) In the locker room, the number of rows is 6 less than the number of lockers in a row.
Attachment:
2024-01-24_15-10-29.png [ 40.82 KiB | Viewed 5942 times ]
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24 Jan 2024, 23:33
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guddo
Assume
- Each row of lockers has \(n\) lockers
- Therefore, the number of rows in the locker room = \(\frac{n}{2}\)
Number of lockers in the locker room = \(\frac{n^2}{2}\)
Statement 1
(1) There is a total of 72 lockers in the locker room.
\(\frac{n^2}{2 }= 72\)
\(n = 12\)
This statement alone is sufficient and we can eliminate B, C, and E.
Statement 2
(2) In the locker room, the number of rows is 6 less than the number of lockers in a row.
\(n - \frac{n}{2} = 6\)
\(n = 12\)
This statement is also sufficient.
Option D
