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The ratio of buses to cars on River Road is 2 to 23. If
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29 Aug 2020, 02:04
29 Aug 2020, 02:04
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86% (00:59) correct
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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?
A. 30
B. 60
C. 660
D. 690
E. 750
A. 30
B. 60
C. 660
D. 690
E. 750
Re: The ratio of buses to cars on River Road is 2 to 23. If
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30 Aug 2020, 23:56
30 Aug 2020, 23:56
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Let \(b\) and \(c\) be the numbers of buses and cars, respectively.
We have \(b:c = 2:23\) or \(2c = 23b\), which is equivalent to \(b = \frac{2}{23}c\).
In addition, we have \(c = b + 630\).
When we replace \(b\) by \(\frac{2}{23}c\) in the last equation, we have \(c = \frac{2}{23}c + 630\) or \(\frac{21}{23}c = 630\).
Then we have \(c = \frac{23}{21} \cdot 630 = 690\).
Therefore, D is the right answer.
We have \(b:c = 2:23\) or \(2c = 23b\), which is equivalent to \(b = \frac{2}{23}c\).
In addition, we have \(c = b + 630\).
When we replace \(b\) by \(\frac{2}{23}c\) in the last equation, we have \(c = \frac{2}{23}c + 630\) or \(\frac{21}{23}c = 630\).
Then we have \(c = \frac{23}{21} \cdot 630 = 690\).
Therefore, D is the right answer.
Re: The ratio of buses to cars on River Road is 2 to 23. If
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24 Nov 2024, 22:09
24 Nov 2024, 22:09
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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