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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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Intern
Joined: 29 Aug 2013
Posts: 40
GPA: 3.76
WE: Supply Chain Management (Transportation)
The ratio of buses to cars on River Road is 2 to 23. If there are 630 [#permalink]

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12 Mar 2016, 11:11
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25% (medium)

Question Stats:

72% (01:06) correct 28% (01:13) wrong based on 137 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

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Math Expert
Joined: 02 Sep 2009
Posts: 46166
The ratio of buses to cars on River Road is 2 to 23. If there are 630 [#permalink]

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12 Mar 2016, 11:41
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.

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Joined: 26 Mar 2013
Posts: 1674
Re: The ratio of buses to cars on River Road is 2 to 23. If there are 630 [#permalink]

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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

Manager
Joined: 09 Jun 2015
Posts: 102
Re: The ratio of buses to cars on River Road is 2 to 23. If there are 630 [#permalink]

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13 Mar 2016, 04:04
1
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.
Manager
Joined: 23 Dec 2013
Posts: 205
Location: United States (CA)
GMAT 1: 710 Q45 V41
GMAT 2: 760 Q49 V44
GPA: 3.76
Re: The ratio of buses to cars on River Road is 2 to 23. If there are 630 [#permalink]

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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.
Intern
Joined: 07 Aug 2017
Posts: 2
Re: The ratio of buses to cars on River Road is 2 to 23. If there are 630 [#permalink]

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20 Sep 2017, 06:01
1
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.

Isn't this incomplete?
23 * 30 = 690. Therefore, shouldn't the answer be D? Which is the OA as well.
Math Expert
Joined: 02 Sep 2009
Posts: 46166
Re: The ratio of buses to cars on River Road is 2 to 23. If there are 630 [#permalink]

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20 Sep 2017, 06:06
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.

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] 20 Sep 2017, 06:06
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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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