QUEEN OF HEARTS

Level pending

Four card players A,B,C, & D are playing cards. The total amount of their money at the start of the game is 3900, with a ratio of 1:3:4:5 respectively. At the middle of the game,player D quits after losing 500. But players A,B,&C still continue playing with the new total amount of their money having a ratio of 5:11:13 respectively, after player D quits. After the end of the game the ratio of their money with respect to the total amount becomes 9:9:11 (9 for A, 9 for B &11 for C). How much is the total winning amount did the winner gets?


The answer is 600.

Allan Baguio by Allan Baguio , 61, Philippines

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2 solutions

Venture Hi
Mar 24, 2014

the only person who won the gambling match is A at 600 dollars. B didn't lose nor gain. C lost 300 dollars and d =500.

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Allan Baguio
Mar 24, 2014

Using the ratio 1:3:4:5 with respect to 3900 A's money= 300, B's money=900, C's money=1200 & D's money =1500 @ the start of the game. After player D quits the new total amount of money is 3900-1000 =2900 Using the ratio of 5:11:13 with respect to 2900, A's money=500, B's money=1100, & C's money=1300 After the end of the game, ratio becomes 9:9:11. Thus A's money=900, B's money= 900,& C's money=1100 Therefore player A wins 600.(900-300) D lost 500 & C lost 100

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