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B
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Difficulty:
95%
(hard)
Question Stats:
32% (02:03) correct
68%
(02:07)
wrong
based on 87
sessions
History
Date
Time
Result
Not Attempted Yet
The total number of students attending Almeida County Elementary School is greater than 250 and less than 550. How many of the students at Almeida County Elementary School are boys?
(1) There are 14 more boys than girls at Almeida County Elementary School.
(2) The number of boys at Almeida County Elementary School is 7% greater than the number of girls at the school.
(1) There are 14 more boys than girls at Almeida County Elementary School.
(2) The number of boys at Almeida County Elementary School is 7% greater than the number of girls at the school.
21 Jun 2022, 02:03
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The total number of students attending Almeida County Elementary School is greater than 250 and less than 550. How many of the students at Almeida County Elementary School are boys?
(1) There are 14 more boys than girls at Almeida County Elementary School:
Since we don't know the total number of students (we only know the range: 250 - 550), we cannot get the value of g. Not sufficient.
(2) The number of boys at Almeida County Elementary School is 7% greater than the number of girls at the school.
Since b (the number of boys) is an integer, then total/207 must also be an integer, which means that the total number of students must be a multiple of 207. There is only one multiple of 207 between 250 and 550: 414. Thus:
Sufficient.
Answer: B.
(1) There are 14 more boys than girls at Almeida County Elementary School:
- \(b + g = total\);
- \(b + (b - 14) = total\).
Since we don't know the total number of students (we only know the range: 250 - 550), we cannot get the value of g. Not sufficient.
(2) The number of boys at Almeida County Elementary School is 7% greater than the number of girls at the school.
- \(b + g = total\);
- \(b + 1.07*b = total\);
- \(2.07b = total\);
- \(\frac{207}{100}*b = total\);
- \(b = \frac{total}{207} *100\).
Since b (the number of boys) is an integer, then total/207 must also be an integer, which means that the total number of students must be a multiple of 207. There is only one multiple of 207 between 250 and 550: 414. Thus:
- \(b = \frac{total}{207} *100 = \frac{414}{207} *100 = 200\).
Sufficient.
Answer: B.
General Discussion
19 Jun 2022, 20:53
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i feel like there are some words missing from the question coz option - 2 doesn't form a complete sentence.
