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old ratio vs. new ratio

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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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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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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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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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