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The ratio of buses to cars on River Road is 2 to 23. If there are 630

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shapla
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The ratio of buses to cars on River Road is 2 to 23. If there are 630 [#permalink] New post   12 Mar 2016, 11:11
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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
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Bunuel
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The ratio of buses to cars on River Road is 2 to 23. If there are 630 [#permalink] New post   12 Mar 2016, 11:41
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shapla 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?

A) 30

B) 60

C) 660

D) 690

E) 750


The ratio of buses to cars on River Road is 2 to 23: buses/cars = 2x/23x;

There are 630 fewer buses than cars: 2x + 630 = 23x --> x = 30 --> cars = 23x = 690.

Answer: D.
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Re: The ratio of buses to cars on River Road is 2 to 23. If there are 630 [#permalink] New post   13 Mar 2016, 00:20
B/C=2/23

C-B=630.........> B=C-630

(C-630)/C=2/23

Testing answers. Clearly Eliminate A & B

Put C=690.........> (690-630)/690=60/690=2/23

Answer: D
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Re: The ratio of buses to cars on River Road is 2 to 23. If there are 630 [#permalink] New post   13 Mar 2016, 04:04
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shapla 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?

A) 30

B) 60

C) 660

D) 690

E) 750

For the difference in the ratio of 21, the difference in absolute value is 630.
That is, 21 corresponds to 630
Therefore 23 corresponds to what?
They are in direct proportion.
Multiply 630 with the ratio 23/21
That gives 690 as the answer.
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Re: The ratio of buses to cars on River Road is 2 to 23. If there are 630 [#permalink] New post   29 May 2017, 10:15
shapla 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?

A) 30

B) 60

C) 660

D) 690

E) 750


This problem is mostly just execution. The goal is to find the number of cars.

B/C = 2/3

B = C - 630.

(C - 630)/C = 2/23

23(C-630) = 2C

23C - 23(630) = 2C

21C - 23(630) = 0

21C = 23(630)

It may be tempting to do the math here, but eliminate common factors to avoid the messy arithmetic.

7C = 23(210)
C = 23*30

C = 690.
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Re: The ratio of buses to cars on River Road is 2 to 23. If there are 630 [#permalink] New post   20 Sep 2017, 06:01
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Bunuel wrote:
shapla 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?

A) 30

B) 60

C) 660

D) 690

E) 750


The ratio of buses to cars on River Road is 2 to 23: buses/cars = 2x/23x;

There are 630 fewer buses than cars: 2x + 630 = 23x --> x = 30.

Answer: A.



Isn't this incomplete?
23 * 30 = 690. Therefore, shouldn't the answer be D? Which is the OA as well.
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Re: The ratio of buses to cars on River Road is 2 to 23. If there are 630 [#permalink] New post   20 Sep 2017, 06:06
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TeoHprStudy wrote:
Bunuel wrote:
shapla 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?

A) 30

B) 60

C) 660

D) 690

E) 750


The ratio of buses to cars on River Road is 2 to 23: buses/cars = 2x/23x;

There are 630 fewer buses than cars: 2x + 630 = 23x --> x = 30.

Answer: A.



Isn't this incomplete?
23 * 30 = 690. Therefore, shouldn't the answer be D? Which is the OA as well.

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Yes. Edited. Thank you.
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Re: The ratio of buses to cars on River Road is 2 to 23. If there are 630 [#permalink] New post   26 Oct 2023, 13:59
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Re: The ratio of buses to cars on River Road is 2 to 23. If there are 630 [#permalink]
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