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On children's Day, sweets were to be equally distributed amongst 300 children. But on that particular day 50 children remained absent; hence each child got one extra sweet. How many sweet were distributed?
- a)1450
- b)1700
- c)1500
- d)1650
Correct answer is option 'C'. Can you explain this answer?
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On childrens Day, sweets were to be equally distributed amongst 300 ch...
Understanding the Problem
On Children's Day, sweets are to be distributed among 300 children. However, due to 50 absentees, the sweets are distributed among only 250 children. Each child ends up receiving one extra sweet.
Let’s Define Variables
- Let the total number of sweets be S.
- Let the number of sweets each child would have received if all 300 were present = x.
So, if all 300 children were present, each would get S / 300 sweets.
Distribution with Absentees
Since 50 children were absent, sweets are distributed among 250 children:
- Each of the 250 children receives (S / 250) sweets.
According to the problem, the difference in sweets per child due to absentees is one sweet:
(S / 250) = (S / 300) + 1
Setting Up the Equation
Now, we can solve the equation:
1. Multiply through by 75000 (the least common multiple of 250 and 300) to eliminate the denominators:
300S = 250S + 75000
2. Simplify the equation:
300S - 250S = 75000
50S = 75000
S = 1500
Conclusion
Thus, the total number of sweets distributed is 1500.
Final Answer
The correct option is C) 1500.
On Children's Day, sweets are to be distributed among 300 children. However, due to 50 absentees, the sweets are distributed among only 250 children. Each child ends up receiving one extra sweet.
Let’s Define Variables
- Let the total number of sweets be S.
- Let the number of sweets each child would have received if all 300 were present = x.
So, if all 300 children were present, each would get S / 300 sweets.
Distribution with Absentees
Since 50 children were absent, sweets are distributed among 250 children:
- Each of the 250 children receives (S / 250) sweets.
According to the problem, the difference in sweets per child due to absentees is one sweet:
(S / 250) = (S / 300) + 1
Setting Up the Equation
Now, we can solve the equation:
1. Multiply through by 75000 (the least common multiple of 250 and 300) to eliminate the denominators:
300S = 250S + 75000
2. Simplify the equation:
300S - 250S = 75000
50S = 75000
S = 1500
Conclusion
Thus, the total number of sweets distributed is 1500.
Final Answer
The correct option is C) 1500.
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On childrens Day, sweets were to be equally distributed amongst 300 children. But on that particular day 50 children remained absent; hence each child got one extra sweet. How many sweet were distributed?a)1450b)1700c)1500d)1650Correct answer is option 'C'. Can you explain this answer?
Question Description
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On childrens Day, sweets were to be equally distributed amongst 300 children. But on that particular day 50 children remained absent; hence each child got one extra sweet. How many sweet were distributed?a)1450b)1700c)1500d)1650Correct answer is option 'C'. Can you explain this answer? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about On childrens Day, sweets were to be equally distributed amongst 300 children. But on that particular day 50 children remained absent; hence each child got one extra sweet. How many sweet were distributed?a)1450b)1700c)1500d)1650Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for On childrens Day, sweets were to be equally distributed amongst 300 children. But on that particular day 50 children remained absent; hence each child got one extra sweet. How many sweet were distributed?a)1450b)1700c)1500d)1650Correct answer is option 'C'. Can you explain this answer?.
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On childrens Day, sweets were to be equally distributed amongst 300 children. But on that particular day 50 children remained absent; hence each child got one extra sweet. How many sweet were distributed?a)1450b)1700c)1500d)1650Correct answer is option 'C'. Can you explain this answer?, a detailed solution for On childrens Day, sweets were to be equally distributed amongst 300 children. But on that particular day 50 children remained absent; hence each child got one extra sweet. How many sweet were distributed?a)1450b)1700c)1500d)1650Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of On childrens Day, sweets were to be equally distributed amongst 300 children. But on that particular day 50 children remained absent; hence each child got one extra sweet. How many sweet were distributed?a)1450b)1700c)1500d)1650Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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