Q. Karthikeyan arranged a party to celebrate his birth day.20 of his close friends were invited. One friend left before the cake was cut due to an urgent phone call.The big cake was drawing the attention of the party visitors. This cake is to be divided among friends and of course Karthikeyan will get his share. A man eats 3 pieces, a woman eats two pieces and a child eats half a piece of cake. Including Karthikeyan count the number of men,women and children in the party. There are 20 pieces of cake in all.

Option
a) 6 women, 2 men and 12 children
b) 7 women, 1 men and 12 children
c) 5 women, 1 men and 14 children
d) 4 women, 2 men and 14 children

• c.5 women, 1 men and 14 children
  
  Solution:
  
  Let the number of men be m, number of women be w and number of children be c
  Total number of pieces = Pieces ate by men + Pieces ate by women + Pieces ate by children
  There are 20 total pieces. Also a man eats 3 pieces, a woman eats 2 and children half. Therefore above equation becomes.
  20 = 3m + 2w + 1/2c
  In the above equation, you have to substitute the values given in options to find which one satisfies the equation.
  Option c with m = 1, c = 14 and w = 5 perfectly satisfies the equation as follows
  20 = 3(1) + 2(5) + (1/2)(14)
  20 = 20 i,e our equation is satisfied perfectly by option c
• 11 years agoHelpfull: Yes(38) No(2)
• According to the options given we need to substitute the values and the ans is c.
• 11 years agoHelpfull: Yes(8) No(0)
• Ans: c.5 women, 1 men and 14 children
  No. of people who ate the cake = 19(of his frnds)+1(Karthikeyan) = 20
  Out of these,let there be x men,y women and z children.
  The x+y+z = 20......(1)
  total no. of cake pieces = 3x+2y+z/2 = 20
  Muliplying the above equation by 2, 6x+4y+z = 40......(2)
  Subtracing the equation (1) from equation (2),
  5x+3y = 20.
  From the given options,if there are x men y women,only option C satisfies.
  And no. of children = 20 -(x+y) = 20 - 6 =14....which is true in opion C.
  
• 11 years agoHelpfull: Yes(3) No(0)
• 3m+2w+1/2 ch=20
  3*1 + 2*5 + 1/2*14 = 3+10+7=20
  so c)
• 11 years agoHelpfull: Yes(3) No(0)
• answer option:-c
  
• 11 years agoHelpfull: Yes(1) No(1)
• ans (c)
  5 women ;2 pieces = 5x2=10
  1 men;3 pieces = 1x3=3
  14 children;1/2pieces=14x1/2=7
  TOTAL 20
• 11 years agoHelpfull: Yes(1) No(0)
• D. 4 women x2 =8
  2 men x3 =6
  14 childerns X1/2=7
  TOTAL=21
  20 frnds of Karthikeyan and 1 himself kartikeyan.
  
  According to question-
  20 of his close friends were invited
  Karthikeyan will get his share.
  TOTAL 21 people
  
• 10 years agoHelpfull: Yes(1) No(0)
• Answer is 3 men , 2 women and 14 children
• 11 years agoHelpfull: Yes(0) No(4)
• C
  14 children eats 7 pieces, 1 men eats 3 pieces and 5 women eats 10 pieces so total number of pieces are 20
• 11 years agoHelpfull: Yes(0) No(0)
• 5 women eat 10pieces,1 men eat 3pieces and 14 children eat 7pieces so the total number of pieces are 20.so c is correct answer.
• 11 years agoHelpfull: Yes(0) No(0)
• option c
  (5*2)+(1*3)+(14*1/2)
  
• 11 years agoHelpfull: Yes(0) No(0)
• ans is option C
• 11 years agoHelpfull: Yes(0) No(0)
• 5 woman=5*2=10
  1 man=1*3=3
  14 child=.5*14=7
  total=20 answer c
• 11 years agoHelpfull: Yes(0) No(0)
• optn verificatn takes less time by taking 19 mem, bcoz 1 man left b4 cake cuttng.
• 11 years agoHelpfull: Yes(0) No(0)
• c) Because acc to calculation there are total 20 pieces
  20 = 3*2 + 1*3 + 14*(1/2)
  Only this option satisfies the condition.
• 11 years agoHelpfull: Yes(0) No(0)
• answer is C from options
  
• 11 years agoHelpfull: Yes(0) No(0)
• answer is option c
• 11 years agoHelpfull: Yes(0) No(0)
• answer (c)
  total pieces=20
  women=5*2=10
  man=1*2=2
  chil=14*12=7
• 11 years agoHelpfull: Yes(0) No(0)
• C) 5W,1M and 14C
• 11 years agoHelpfull: Yes(0) No(0)
• 5 women,1 men,14 children
• 11 years agoHelpfull: Yes(0) No(0)
• option c by substituting the values in equ 3m+2w+1/2c=20
• 11 years agoHelpfull: Yes(0) No(0)