Jim won the lottery he spent two thirds of his winnings on a house and spent two thirds of what he had left on a boat and then spent two thirds of what he had left on a hot air balloon. He spent his last £20000 on a car.
How much did Jim win on the lottery?
2007-01-21 09:12:57 · 9 answers · asked by gramatin24 2 in Science & Mathematics ➔ Mathematics
£540,000.
2007-01-21 09:28:56 · answer #1 · answered by Polo 7 · 0⤊ 0⤋
If he had £20,000 left to spend on the car that is 1/27th of the original amount which must, therefore, be £540,000.
Why 1/27th? Well he has a third portion of the whole after he buys the house and then a third portion of that third portion after he bought the boat. That is 1/9th of the original amount and then he has a third of the 1/9th left after the purchase of the Hot air balloon which is 1/27th of the original amount to buy the car @ £20,000.
I hope this helps.
2007-01-24 12:05:49 · answer #2 · answered by Anonymous · 0⤊ 0⤋
y = lottery winnings
1/3[(1/3)(1/3y)] = 20,000
1y/27 = 20,000
Cross multiply
y = 540,000
He spent (540,000 x 2/3 = 360,000) on house and with 1/3 of the
(540,000 x 1/3 = 180,000) on boat and 1/3 of the
(180,000 x 1/3 = 60,000) on hot air ballon and 1/3 of the
(60,000 x 1/3) = 20,000 on a car
By the way im 15 and i figured this problem out haha:P
2007-01-21 17:51:54 · answer #3 · answered by Asbed 1 · 0⤊ 0⤋
Let winnings be X
House :- (2/3)(X) = (6/9)(X) = (18/27)(X)
Boat:- (2/9)(X) = (6/27)(X)
Balloon:- (2/3)(1/9)X = (2/27)(X)
Spent (26/27)(X)
Remainder =(1/27)X = 20,000
X = 27 x 20,000 = 540,000
He won £540,000
2007-01-21 17:45:21 · answer #4 · answered by Como 7 · 0⤊ 0⤋
Lottery win = £ 540,000
2007-01-21 18:03:32 · answer #5 · answered by Anonymous · 0⤊ 0⤋
Did he win £720,000.
It took me bloody ages to work this out. (I dare say i'm wrong!!!)
2007-01-21 17:36:14 · answer #6 · answered by sarahjanec 3 · 0⤊ 0⤋
loads a money m8
2007-01-21 17:15:57 · answer #7 · answered by shag_me_sideways 1 · 0⤊ 1⤋
100 million ????
2007-01-21 17:16:33 · answer #8 · answered by Monstertruckfan12 2 · 0⤊ 1⤋
Not sure but do you have his number?
2007-01-21 17:29:56 · answer #9 · answered by Bajanqt 3 · 0⤊ 1⤋