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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% (00:57) correct
13% (03:02) wrong based on 36 sessions
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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
3
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.
gmatclubot
Re: The ratio of buses to cars on River Road is 2 to 23. If [#permalink]
30 Aug 2020, 23:56
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