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A group of students and teachers take a field trip, such that the stud
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28 Feb 2023, 01:19
28 Feb 2023, 01:19
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87% (01:13) correct
12% (01:46) wrong based on 31 sessions
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A group of students and teachers take a field trip, such that the student to teacher ratio is 8 to 1. The total number of people on the field trip is between 60 and 70.
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
The number of teachers on the field trip |
6 |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Re: A group of students and teachers take a field trip, such that the stud
[#permalink]
25 Mar 2023, 09:52
25 Mar 2023, 09:52
Expert Reply
OE
You can use an Unknown Multiplier x to help express the number of students and teachers. In light of the given ratio, there would be x teachers and 8x students, and the total number of people on the field trip would therefore be x + 8x = 9x. Note that x in this case must be a positive integer, because you cannot have fractional people. The total number of people must therefore be a multiple of 9. The only multiple of 9 between 60 and 70 is 63. Therefore, x must be 63/9 which equals 7. Rewrite the quantities:
QA = 7
QB = 6
A >B
You can use an Unknown Multiplier x to help express the number of students and teachers. In light of the given ratio, there would be x teachers and 8x students, and the total number of people on the field trip would therefore be x + 8x = 9x. Note that x in this case must be a positive integer, because you cannot have fractional people. The total number of people must therefore be a multiple of 9. The only multiple of 9 between 60 and 70 is 63. Therefore, x must be 63/9 which equals 7. Rewrite the quantities:
QA = 7
QB = 6
A >B
gmatclubot
Re: A group of students and teachers take a field trip, such that the stud [#permalink]
25 Mar 2023, 09:52
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