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Post subject: GMAT Algebra Posted: Fri Dec 10, 2010 6:27 am 

Joined: Sun May 30, 2010 3:15 am Posts: 424

A fish tank is half full of water. If 10 gallons of water were added, the tank would be 7/8 full. What is the capacity of the tank (in gallons)?
A. 11 3/7 B. 22 3/7 C. 26 2/3 D. 30 3/8 E. 32 1/8
(C) Set G as the capacity of the tank. Now we translate the question: half of the tank plus ten gallons equals 7/8 of the tank. This can be written out as: G/2 + 10 = (7/8)G.
Subtract G/2 from both sides and convert G/2 into (4/8)G, in order to give both fractions a common denominator. The equation then becomes: 10 = (7/8)G – (4/8)G (3/8)G = 10.
Multiply both sides by 8/3: G = 10(8/3) = 80/3 = 26.66 or 26 2/3 gallons.The correct answer is choice (C). 
How do you convert G/2 into 4/8?


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Gennadiy

Post subject: Re: math (test 1, question 3): algebra Posted: Fri Dec 10, 2010 6:30 am 

Joined: Sun May 30, 2010 2:23 am Posts: 498

We convert G/2 into (4/8)G.
G/2 = 1/2 × G = (1 × 4)/(2 × 4) × G = 4/8 × G


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questioner

Post subject: Re: math (test 1, question 3): algebra Posted: Wed Jan 12, 2011 5:48 pm 

Joined: Sun May 30, 2010 3:15 am Posts: 424

Where does 4/8 come from?


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Gennadiy

Post subject: Re: math (test 1, question 3): algebra Posted: Wed Jan 12, 2011 5:50 pm 

Joined: Sun May 30, 2010 2:23 am Posts: 498

We convert G/2 into (4/8)G.
G/2 is 1/2 × G and 4/8 is 1/2.
G/2 = 1/2 × G = (1 × 4)/(2 × 4) × G = 4/8 × G


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