Math questions from any Manhattan Prep GMAT Computer Adaptive Test.
skyjarrett12
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Is there another way to solve this problem?

by skyjarrett12 Mon Oct 08, 2012 10:57 pm

The ratio of buses to cars on River Road is 2 to 23. If there are 630 fewer buses than cars on River Road, how many cars are on River Road?

Explanation:
The ratio of buses to cars can be expressed as 2x: 23x. We can write an equation that represents the fact that there are 630 fewer buses than cars: 2x + 630 = 23x.

Solving this equation for x yields the following:

2x + 630 = 23x
630 = 21x
30 = x.

There are 23x cars on River Road which equals 23 × 30 = 690 cars. The correct answer is D.
tim
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Re: Is there another way to solve this problem?

by tim Thu Oct 11, 2012 2:39 am

this is the fastest and easiest way to solve this one. yes there are other ways, but they're not worth bothering with..
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iana226
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by iana226 Tue Mar 14, 2017 8:06 am

skyjarrett12 Wrote:The ratio of buses to cars on River Road is 2 to 23. If there are 630 fewer buses than cars on River Road, how many cars are on River Road?

Explanation:
The ratio of buses to cars can be expressed as 2x: 23x. We can write an equation that represents the fact that there are 630 fewer buses than cars: 2x + 630 = 23x.

Solving this equation for x yields the following:

2x + 630 = 23x
630 = 21x
30 = x.

There are 23x cars on River Road which equals 23 × 30 = 690 cars. The correct answer is D.



If there are 630 fewer buses, why is it 2x + 630 and not 2x - 630= 23x?
or 2x= 23x + 630?
RonPurewal
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Re:

by RonPurewal Wed Mar 15, 2017 8:26 am

you can tell those equations are incorrect just by using common sense.

23x is clearly the bigger number, and 2x is the smaller one.
so, if you're ADDING 630 to the BIGGER one to GET THE SMALLER one... well, that's clearly wrong.
and, if you're SUBTRACTING 630 from the SMALLER one to GET THE BIGGER one... that's clearly also wrong.