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Last year, for every 100 million vehicles that traveled on a [#permalink]

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20 Dec 2012, 08:37

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A

B

C

D

E

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81% (01:00) correct
19% (01:15) wrong based on 734 sessions

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Last year, for every 100 million vehicles that traveled on a certain highway, 96 vehicles were involved in accidents. If 3 billion vehicles traveled on the highway last year, how many of those vehicles were involved in accidents? (1 billion = 1,000,000,000)

Last year, for every 100 million vehicles that traveled on a certain highway, 96 vehicles were involved in accidents. If 3 billion vehicles traveled on the highway last year, how many of those vehicles were involved in accidents? (1 billion = 1,000,000,000)

(A) 288 (B) 320 (C) 2,880 (D) 3,200 (E) 28,800

3 billion is 30 times as many as 100 million, so for 3 billion vehicles there would be 30*96=2,880 accidents.

Re: Last year, for every 100 million vehicles that traveled on a [#permalink]

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27 May 2014, 20:00

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Walkabout wrote:

Last year, for every 100 million vehicles that traveled on a certain highway, 96 vehicles were involved in accidents. If 3 billion vehicles traveled on the highway last year, how many of those vehicles were involved in accidents? (1 billion = 1,000,000,000)

(A) 288 (B) 320 (C) 2,880 (D) 3,200 (E) 28,800

Hello

The solution above mine is much easier but I didn't catch it under timing so here's how I solved it. (looks easier on paper for canceling out)

(10^8)/96=3x10^9/x x=(96x3x10^9)/10^8 (cancel out 10^9 and 10^8 you get 10) x=96x30=2 880

Estimation is helpful here, too. Once you see that you have 30*96, you can say that the answer must be a little less than 30*100, or 3,000. Only C fits.

You could also estimate in advance. The accident rate is 96 per 100 million, which is just under 1 in a million. 3 billion divided by a million is 3,000, so again, the answer should be a bit less than 3,000.
_________________

Dmitry Farber | Manhattan GMAT Instructor | New York

Last year, for every 100 million vehicles that traveled on a certain highway, 96 vehicles were involved in accidents. If 3 billion vehicles traveled on the highway last year, how many of those vehicles were involved in accidents? (1 billion = 1,000,000,000)

(A) 288 (B) 320 (C) 2,880 (D) 3,200 (E) 28,800

To solve we will set up a proportion. We know that “100 million vehicles is to 96 accidents as 3 billion vehicles is to x accidents”. To express everything in terms of “millions”, we can use 3,000 million rather than 3 billion. Creating a proportion we have:

100/96 = 3,000/x

Cross multiplying gives us:

100x = 3,000 * 96

x = 30 * 96 = 2,880

The answer is C.
_________________

Scott Woodbury-Stewart Founder and CEO

GMAT Quant Self-Study Course 500+ lessons 3000+ practice problems 800+ HD solutions

Re: Last year, for every 100 million vehicles that traveled on a [#permalink]

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14 Mar 2017, 05:51

Walkabout wrote:

Last year, for every 100 million vehicles that traveled on a certain highway, 96 vehicles were involved in accidents. If 3 billion vehicles traveled on the highway last year, how many of those vehicles were involved in accidents? (1 billion = 1,000,000,000)

(A) 288 (B) 320 (C) 2,880 (D) 3,200 (E) 28,800

Ans: 96 * 3 = 288; 1000 million = 1 billion so next step is 2880*10 ( as 100 million * 10 = 1000 million = Billion)

gmatclubot

Re: Last year, for every 100 million vehicles that traveled on a
[#permalink]
14 Mar 2017, 05:51

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