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Question 195 Princeton GMAT Bible

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 Post subject: Question 195 Princeton GMAT Bible
 Post Posted: Thu Nov 06, 2008 10:23 pm 
Would you please explain this question for me:

Tom and Jean share some amount of money in the ratio of 7:4, if Tom has 60.00 More that 4/7 of the total, how much did Jean get.

Thanks.
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RonPurewal
 Post subject: Re: Question 195 Princeton GMAT Bible
 Post Posted: Thu Nov 20, 2008 7:35 am 
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ManhattanGMAT Staff


Posts: 7146
Anonymous wrote:
Would you please explain this question for me:

Tom and Jean share some amount of money in the ratio of 7:4, if Tom has 60.00 More that 4/7 of the total, how much did Jean get.

Thanks.


totally standard opener for this one.
when you're given unknown quantities in a fixed ratio, multiply the coefficients in the ratio by "x" to generate algebraic expressions.

this means that, in this problem,
tom money = 7x
jean money = 4x

the statement in the problem becomes
tom = (4/7)(total) + 60
7x = (4/7)(7x + 4x) + 60
7x = 44x/7 + 60
5x/7 = 60
x = 84
jean = 4x = 336
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