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# ps #2 benefit fund

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CEO
Joined: 21 Jan 2007
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Location: New York City
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31 May 2007, 17:41
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Each month for 6 months the amount of money in a benefit fund is doubled. At the end of the 6 months there is a total of $640 in the fund. How much money was in the fund at the end of 3 months? (A)$80
(B) $100 (C)$120
(D) $160 (E)$320
Manager
Joined: 02 May 2007
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Re: ps #2 benefit fund [#permalink]

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31 May 2007, 18:00
bmwhype2 wrote:
Each month for 6 months the amount of money in a benefit fund is doubled. At the end of the 6 months there is a total of $640 in the fund. How much money was in the fund at the end of 3 months? (A)$80
(B) $100 (C)$120
(D) $160 (E)$320

For (A)

THe amount of money at the end of the 6 months = a x 2^6 = 640
=> a = 10

=> The amount of money at the end of 3 months = a x 2^3 = 80
Manager
Joined: 18 Apr 2007
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31 May 2007, 18:05
My way was not so pretty, but it got the same result:

1mo - x
2mo - 2x
3mo - 4x
4mo - 8x
5mo - 16x
6mo - 32x

32x=640
x=20

4(20)=80

Intern
Joined: 30 May 2007
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31 May 2007, 19:02
640 = 10*2^6

After 3 months, money should be 10*2^3 = \$80
31 May 2007, 19:02
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