old ratio vs. new ratio

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Fractal: Master | Next Rank: 500 Posts; Posts: 183; Joined: Sun Aug 22, 2010 1:02 am; Location: Switzerland; Thanked: 5 times

by Fractal » Tue Sep 28, 2010 4:57 am

the ratio of the amount of Alexs fuel oil bill for the month of February to the amount of his bill for the month of January was 3/2. If the fuel oil bill for February had been $40 more, the corresponding ratio would have been 5/3.

How much was Alexs fuel oil bill for January?

Does anybody know a good approch for this and similiar more difficult questions?

thx

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Source: Beat The GMAT — Problem Solving | Tue Sep 28, 2010 4:57 am

kmittal82: Master | Next Rank: 500 Posts; Posts: 324; Joined: Mon Jul 05, 2010 6:44 amFollowed by: 3 members; Location: London; Thanked: 70 times

by kmittal82 » Tue Sep 28, 2010 5:29 am

>the ratio of the amount of Alexs fuel oil bill for the month of February to the amount of his bill for the month of January was 3/2.

F/J = 3/2

>If the fuel oil bill for February had been $40 more, the corresponding ratio would have been 5/3.

(F+40)/J = 5/3

=> F/J + 40/J = 5/3

=> 40/J = 5/3 - 3/2 = 1/6 => J = 40x6 = 240

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diebeatsthegmat: Legendary Member; Posts: 1119; Joined: Fri May 07, 2010 8:50 amFollowed by: 3 members; Thanked: 29 times

by diebeatsthegmat » Tue Sep 28, 2010 7:41 am

Fractal wrote:the ratio of the amount of Alexs fuel oil bill for the month of February to the amount of his bill for the month of January was 3/2. If the fuel oil bill for February had been $40 more, the corresponding ratio would have been 5/3.

How much was Alexs fuel oil bill for January?

Does anybody know a good approch for this and similiar more difficult questions?

thx

this PS is not as difficult as it seems
consider bill for February is F and J for bill for january
F/J=3/2 or 2F=3J
(F+40)/j=5/3 or J=3(F+40)/5 solve this we will have J=240
is 240 the right answer?

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Fractal: Master | Next Rank: 500 Posts; Posts: 183; Joined: Sun Aug 22, 2010 1:02 am; Location: Switzerland; Thanked: 5 times

by Fractal » Tue Sep 28, 2010 7:43 am

diebeatsthegmat wrote:
Fractal wrote:the ratio of the amount of Alexs fuel oil bill for the month of February to the amount of his bill for the month of January was 3/2. If the fuel oil bill for February had been $40 more, the corresponding ratio would have been 5/3.

How much was Alexs fuel oil bill for January?

Does anybody know a good approch for this and similiar more difficult questions?

thx
this PS is not as difficult as it seems
consider bill for February is F and J for bill for january
F/J=3/2 or 2F=3J
(F+40)/j=5/3 or J=3(F+40)/5 solve this we will have J=240
is 240 the right answer?

yes, 240 is the solution

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