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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

Expert replies
by BTGmoderatorDC » Sat Aug 08, 2020 5:11 pm

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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


OA D

Source: Manhattan Prep
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Source: — Problem Solving |

BTGmoderatorDC wrote:
Sat Aug 08, 2020 5:11 pm
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


OA D

Solution:

We can let the ratio of buses to cars = 2x : 23x, thus:

23x - 630 = 2x

21x = 630

x = 30

It follows that there are 23 x 30 = 690 cars on the road

Answer: D

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BTGmoderatorDC wrote:
Sat Aug 08, 2020 5:11 pm
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
How many cars are on River Road?
Since buses : cars = 2:23, the correct answer must be a MULTIPLE OF 23.
Only D (690) is a multiple of 23.

The correct answer is D.
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