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Senior | Next Rank: 100 Posts
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by coolgirl26 » Sun Apr 19, 2009 12:20 pm
Hi Thank you all for answering my previous percent problem..it shed some understnding

but now i am having trouble answering this


What percent is X of y
x is what percent % of Y

First of all How can i word this out

and then

1) Y is bigger than 2x by 54??/ How do i write this out


2) X is smaller than 3y by 72?
How do i write this out

Please give short cuts

and the answer is C..


Please help!!!
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Source: — Data Sufficiency |
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by DanaJ » Sun Apr 19, 2009 12:36 pm
Your two stmts should be written as follows:

1. y = 2x + 54

2. x = 3y - 72.

Now, as you can see, the two equations form a system. This is why you need both to answer this question: having a system of two equations with two unknowns means that you can solve it to get a single set of solutions, which you can then use to figure out the percentages you need.

I'll give you an example why stmt 1 doesn't do the job (it's very much the same thing with stmt 2):
Take x = 1 and y = 56 - this means that the percentage you're looking for is 1/56 * 100 = 1.17%

Take x = 5 and y = 64 and the percentage of y that is x will be 5/64 * 100 = 7.81%

As you can see, very different outcomes, but they both stick to the restriction of y = 2x + 54. This is why you need that second equation for your system: each stmt by itself is insufficient.
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