PS 1000- Section 2 #11

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lavanya_25: Junior | Next Rank: 30 Posts; Posts: 11; Joined: Sat Feb 24, 2007 12:00 pm; Location: Stillwater, Oklahoma, USA

PS 1000- Section 2 #11

by lavanya_25 » Mon May 07, 2007 7:55 am

Hi

Please help me solve this question from the 1000 series

. If 6 gallons of gasoline are added to a tank that is already filled to 3/4 of its capacity, the tank is then filled to 9/10 of its capacity. How many gallons does the tank hold?
(A) 20
(B) 24
(C) 36
(D) 40
(E) 60

Thanks
Lavanya

Quote

Source: Beat The GMAT — Problem Solving | Mon May 07, 2007 7:55 am

Neo2000: Legendary Member; Posts: 519; Joined: Sat Jan 27, 2007 7:56 am; Location: India; Thanked: 31 times

Re: PS 1000- Section 2 #11

by Neo2000 » Mon May 07, 2007 8:19 am

lavanya_25 wrote:Hi

Please help me solve this question from the 1000 series

. If 6 gallons of gasoline are added to a tank that is already filled to 3/4 of its capacity, the tank is then filled to 9/10 of its capacity. How many gallons does the tank hold?
(A) 20
(B) 24
(C) 36
(D) 40
(E) 60

Thanks
Lavanya

3/4th= 75% while 9/10th = 90%
which means that addition of 6gallons caused a rise of 15%
So if there was 75% earlier that would mean there were 6x5 = 30gallons

Quote

Cybermusings: Legendary Member; Posts: 559; Joined: Tue Mar 27, 2007 1:29 am; Thanked: 5 times; Followed by:2 members

by Cybermusings » Mon May 07, 2007 9:05 am

If 6 gallons of gasoline are added to a tank that is already filled to 3/4 of its capacity, the tank is then filled to 9/10 of its capacity. How many gallons does the tank hold?
(A) 20
(B) 24
(C) 36
(D) 40
(E) 60

Suppose capacity is x
3x/4 + 6 = 9x/10
3x + 24 = 4*9x/10
3x + 24 = 18x/5
15x + 120 = 18x
3x = 120
x = 40