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405 sweets were distributed equally among children in such a way that the number of sweets received by each child is 20% of the total number of children. How many sweets did each child recieve ?
- a)9
- b)10
- c)11
- d)12
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
405 sweets were distributed equally among children in such a way that ...
To find out how many sweets each child received, we need to divide the total number of sweets by the total number of children. Let's break down the problem into steps:
Step 1: Total number of sweets
The problem states that 405 sweets were distributed.
Step 2: Total number of children
The problem states that each child received 20% of the total number of children. Let's assume that there are 'x' children.
Step 3: Relationship between sweets and children
Since each child received an equal number of sweets, and the problem states that the number of sweets received by each child is 20% of the total number of children, we can set up the following equation:
x * 0.20x = 405
Step 4: Solve for 'x'
Simplifying the equation:
0.20x^2 = 405
x^2 = 405 / 0.20
x^2 = 2025
x = √2025
x = 45
Therefore, there are 45 children.
Step 5: Find the number of sweets each child received
To find out how many sweets each child received, we divide the total number of sweets by the total number of children:
405 / 45 = 9
Therefore, each child received 9 sweets.
So, the correct answer is option 'A' - 9.
Step 1: Total number of sweets
The problem states that 405 sweets were distributed.
Step 2: Total number of children
The problem states that each child received 20% of the total number of children. Let's assume that there are 'x' children.
Step 3: Relationship between sweets and children
Since each child received an equal number of sweets, and the problem states that the number of sweets received by each child is 20% of the total number of children, we can set up the following equation:
x * 0.20x = 405
Step 4: Solve for 'x'
Simplifying the equation:
0.20x^2 = 405
x^2 = 405 / 0.20
x^2 = 2025
x = √2025
x = 45
Therefore, there are 45 children.
Step 5: Find the number of sweets each child received
To find out how many sweets each child received, we divide the total number of sweets by the total number of children:
405 / 45 = 9
Therefore, each child received 9 sweets.
So, the correct answer is option 'A' - 9.
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Community Answer
405 sweets were distributed equally among children in such a way that ...
Let the total number of children be x.
Then, x⋆(20% of x) = 405
⇒ x∗20×/100 = 405
(1/5)x2 = 405
⇒ x = 45
Number of sweets received by each child =20%
of 45 = 9
Then, x⋆(20% of x) = 405
⇒ x∗20×/100 = 405
(1/5)x2 = 405
⇒ x = 45
Number of sweets received by each child =20%
of 45 = 9
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405 sweets were distributed equally among children in such a way that the number of sweets received by each child is 20% of the total number of children. How many sweets did each child recieve ?a)9b)10c)11d)12Correct answer is option 'A'. Can you explain this answer?
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