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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 no. o…

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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 no. of children. How many sweets did each child receive ?
  • A15
  • B45
  • C9
  • D18
Answer not set
0
CCommunity
Solution
Let the number of children be C.

So, the number of sweets that each child gets is 20% of C.

Hence, the total number of sweets there are is 20%*C*C which equals 405.

So, $20 \%C^2 = 405$ or $C^2 = 2025$
Hence, C=45 and the number of sweets each child gets is 9
0
CCommunity
Solution
Let the number of children be C.

So, the number of sweets that each child gets is 20% of C.

Hence, the total number of sweets there are is 20%*C*C which equals 405.

So, $20 \%C^2 = 405$ or $C^2 = 2025$
Hence, C=45 and the number of sweets each child gets is 9
0
CCommunity
Let number of children be x

\therefore No. of sweets received by each 405 child =
405
x

=>
405
x

=20%ofx

=>
405
x

=
x
5

=>x2=405×5

=> x=
√
405×5

=
√
81×5×5
=9×5=45

∴ Required no. of sweets received by each child =
405
45

=9