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A jar of 264 marbles is divided equally among a group of marble-players. If 2 people join the group, each one would receive 1 marble less. How many people are there in the group today?
- a)20
- b)21
- c)22
- d)23
- e)76
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A jar of 264 marbles is divided equally among a group of marble-player...
The best answer is C.
You can back-solve it. 264 marbles divided by 22 (answer C) is 12 marbles per person.
If two people join, there will be 24 people, 264/24 is 11, which is 1 marble less.
If two people join, there will be 24 people, 264/24 is 11, which is 1 marble less.
Most Upvoted Answer
A jar of 264 marbles is divided equally among a group of marble-player...
Understanding the problem:
Given that a jar of 264 marbles is divided equally among a group of marble-players. If 2 people join the group, each one would receive 1 marble less. We need to find out the number of people in the group today.
Solution:
Let's assume:
Let x be the number of people in the group today.
Therefore, each person receives 264/x marbles.
With 2 more people:
When 2 more people join the group, the number of people becomes x+2.
Therefore, each person now receives 264/(x+2) marbles.
Given conditions:
According to the problem, each person receives 1 marble less when 2 more people join the group. Therefore, we can set up the following equation:
264/x = 264/(x+2) + 1
Solving the equation:
Multiplying through by x(x+2) to get rid of the denominators, we get:
264(x+2) = 264x + x(x+2)
264x + 528 = 264x + x^2 + 2x
528 = x^2 + 2x
Rearranging the terms, we get:
x^2 + 2x - 528 = 0
(x + 24)(x - 22) = 0
x = -24 or x = 22
Conclusion:
Since the number of people cannot be negative, the number of people in the group today is 22. Therefore, the correct answer is option C) 22.
Given that a jar of 264 marbles is divided equally among a group of marble-players. If 2 people join the group, each one would receive 1 marble less. We need to find out the number of people in the group today.
Solution:
Let's assume:
Let x be the number of people in the group today.
Therefore, each person receives 264/x marbles.
With 2 more people:
When 2 more people join the group, the number of people becomes x+2.
Therefore, each person now receives 264/(x+2) marbles.
Given conditions:
According to the problem, each person receives 1 marble less when 2 more people join the group. Therefore, we can set up the following equation:
264/x = 264/(x+2) + 1
Solving the equation:
Multiplying through by x(x+2) to get rid of the denominators, we get:
264(x+2) = 264x + x(x+2)
264x + 528 = 264x + x^2 + 2x
528 = x^2 + 2x
Rearranging the terms, we get:
x^2 + 2x - 528 = 0
(x + 24)(x - 22) = 0
x = -24 or x = 22
Conclusion:
Since the number of people cannot be negative, the number of people in the group today is 22. Therefore, the correct answer is option C) 22.
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A jar of 264 marbles is divided equally among a group of marble-players. If 2 people join the group, each one would receive 1 marble less. How many people are there in the group today?a)20b)21c)22d)23e)76Correct answer is option 'C'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about A jar of 264 marbles is divided equally among a group of marble-players. If 2 people join the group, each one would receive 1 marble less. How many people are there in the group today?a)20b)21c)22d)23e)76Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A jar of 264 marbles is divided equally among a group of marble-players. If 2 people join the group, each one would receive 1 marble less. How many people are there in the group today?a)20b)21c)22d)23e)76Correct answer is option 'C'. Can you explain this answer?.
A jar of 264 marbles is divided equally among a group of marble-players. If 2 people join the group, each one would receive 1 marble less. How many people are there in the group today?a)20b)21c)22d)23e)76Correct answer is option 'C'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about A jar of 264 marbles is divided equally among a group of marble-players. If 2 people join the group, each one would receive 1 marble less. How many people are there in the group today?a)20b)21c)22d)23e)76Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A jar of 264 marbles is divided equally among a group of marble-players. If 2 people join the group, each one would receive 1 marble less. How many people are there in the group today?a)20b)21c)22d)23e)76Correct answer is option 'C'. Can you explain this answer?.
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