a rich man gave away money as follows. He gave one fourth of the money to the salvation army. Then he gave one third of what he had left to the local library. Then he gave one half of the remaining money to a university. He gave the last 16000 to a home for the aged. how much money did he have in the beginning? Please explain work so i understand how you do the problem!
2007-10-29 12:02:21 · 7 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Start by giving away 1/4 of what he had.
The second line says he gave 1/3 of what he has left. Well since he's already used 1/4, he had 3/4 left. So that's 1/3 of 3/4 (which is 3/12=1/4). Now he's used 1/4+1/4=1/2 of what he started with. Next he gave 1/2 of that 1/2 away and 1/2 of 1/2 is another 1/4 of what he started with. So far he's given 1/4+1/4+1/4=3/4 of what he started with away. he's left with 1/4 of what he started with and that is 16000. So you can take 16000*4 to get your answer.
16000*4=64000
2007-10-29 12:10:12 · answer #1 · answered by leighismine 2 · 0⤊ 0⤋
He had 64000.00
1/4 of 64000=16000 Salvation Army
remains =48000
1/3 0f 48000= 16000 library
remains=32000
1/2 0f 32000=16000 university
remains 16000 to home for aged
2007-10-29 19:18:16 · answer #2 · answered by Anonymous · 0⤊ 0⤋
Work backwards:
He gave away 16,000 to the aged to end up with nothing.
Before that he gave away half to a university:
m - (1/2)m = 16,000
(1/2)m = 16,000
m = 32,000
So at the university he started with $32,000.
Then before that he gave away 1/3 to the local library:
n - (1/3)n = 32,000
(2/3)n = 32,000
n = (3/2) * 32,000
n = 48,000
So at the library he started with $48,000.
Finally, he gave away 1/4 of the money to the salvation army:
s - (1/4)s = 48,000
(3/4)s = 48,000
s = (4/3) * 48,000
s = 64,000
So he started with $64,000
Double-check the answer:
Start with $64,000.
One fourth ($16,000) given to the salvation army --> $48,000
One third ($16,000) given to the library --> $32,000
One half ($16,000) given to university --> $16,000
Remainder ($16,000) given to a home for the aged.
2007-10-29 19:08:46 · answer #3 · answered by Puzzling 7 · 0⤊ 1⤋
Let x be his total money.
He gave (x/4) to the salvation army.
He's left with (x -x/4) = 3x/4
He gave (1/3)(3x/4) = x/4 to the local library.
He's left with (x - x/4 -x/4) =x/2
He gave (1/2)(x/2) = x/4 to the university
he's left with (x/2 -x/4) =x/4
he's left with 16000 which is x/4
Therefore x = 4*16000 = 64000
He had 64000 in the beginning, he gave it all, such a generous person!
2007-10-29 19:12:07 · answer #4 · answered by Any day 6 · 0⤊ 1⤋
He had a lot.
If you can't understand this problem, then I doubt I could explain it to you so you could understand it.
2007-10-29 19:06:13 · answer #5 · answered by Jacob A 5 · 0⤊ 0⤋
homework i see?!...why did you do it early?!, you have people trying to do it for you. But i'm not fool i'm not doing it. Haha, lol
2007-10-29 19:06:37 · answer #6 · answered by ♥ S0ULJA GIRL DA R33L 0N3 ♥ 3 · 0⤊ 0⤋
this is obveously ur homework!!!! were not stupid!!!!
2007-10-29 19:05:13 · answer #7 · answered by Anonymous · 0⤊ 0⤋