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shapla
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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shapla
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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Bunuel
shapla
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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Bunuel
shapla
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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