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.  Choose the correct answer:	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	E) None of these
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   ANSWER:5 women, 1 men and 14 children
<result>C</result>
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.