top button
Flag Notify
    Connect to us
      Site Registration

Site Registration

How much money did each start with?

0 votes
201 views

In a game called flip it or dip it, three people flip coins, and the odd person out has to double what others already have. After three games,each person has lost once and has thirty six pounds.
How much money did each start with?

posted Jul 19, 2017 by Sisir Jana

Share this puzzle
Facebook Share Button Twitter Share Button LinkedIn Share Button

1 Answer

0 votes

58.5, 31.5 and 18 pounds

Let initial amount be x, y and z pounds
if player with x loses first, player with y loses second and player with z loses last then we have following:
game 1 game 2 game 3 money left
(x-y-z) *2 *2 =36 (1)---> x-y-z=9
(y*2- (x-y-z)- 2z) *2 =36 (2)---> -x+3y-z=18
z*2 *2 -2*(x-y-z)- (2y-(x-y-z)-2z) =36 (3)---> -x-y+7z=36
from above we find x=58.5 pounds, y=31.5 pounds and z=18 pounds

answer Jul 13, 2018 by Hanifa Mammadov



Similar Puzzles
+1 vote
Mark is throwing his son Stewart a surprise birthday party but he.........is out of money, how much did Mark start with?

Mark is throwing his son Stewart a surprise birthday party but he has limited funds.

He spent half of his money plus $2.00 on the cake.

Half of what was left plus $2.00 was spent on balloons and decorations.

Then he spent half of what he had left plus $1.00 on candy.

Now he is out of money, how much did Mark start with?

0 votes
How much money did he start with?

Jayant went to the hardware store to buy some needed supplies. He spent half of what he had plus $2.00 in the first store; half of what he had left plus $1.00 in the second store; half of what he had left plus $1.00 in the third store; and in the last store half of all he had. Three dollars were left over.

How much money did he start with?

+1 vote
In each store Johnny spent $1.00 more than half of what he had when he came in. How much money did he get from grandma?

Grandma sent Johnny some money for his birthday. Johnny spent all of it in five stores. In each store, he spent $1.00 more than half of what he had when he came in. How much money did he get from grandma?

0 votes
How much did he start with?

Danish is throwing Rohan a surprise birthday party but he has to stay within his budget. He spent half of his money plus $2.00 on the cake. Half of what he had left plus $2.00 was spent on balloons and streamers. Then he spent half of what he had left plus $1.00 on candy. Now he is out of money.

How much did he start with?

...