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# A traffic survey shows that, of every 12 cars that arrive at point A

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Math Expert
Joined: 02 Sep 2009
Posts: 44412
A traffic survey shows that, of every 12 cars that arrive at point A [#permalink]

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12 Nov 2017, 10:09
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A traffic survey shows that, of every 12 cars that arrive at point A, 7 turn toward point B and 5 turn toward point C. Of every 7 cars that arrive at point B, 3 turn toward point D and 4 turn toward point E. Of 72 cars arriving at point A, how many are expected eventually to turn toward point D?

(A) 18
(B) 24
(C) 26
(D) 32
(E) 42
[Reveal] Spoiler: OA

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A traffic survey shows that, of every 12 cars that arrive at point A [#permalink]

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13 Nov 2017, 01:09

Since the survey points that of the cars coming towards point A,
$$\frac{7}{12}$$ turn towards point B and
$$\frac{5}{12}$$ of the cars turn towards point C

Furthermore, the survey points that of the 7 cars coming towards
pt B, $$\frac{3}{7}$$ turn towards point D and $$\frac{4}{7}$$ point towards point E.

The question asks us to find out the total number of cars which point towards pt D.

If a total of 72 cars point towards Point A, $$\frac{7}{12}*72 = 42$$ cars point towards Pt B.
Furthermore, of the 42 cars turning towards Pt B, $$\frac{3}{7} * 42$$ or 18 cars(Option A) turn towards Point D.
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Re: A traffic survey shows that, of every 12 cars that arrive at point A [#permalink]

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13 Nov 2017, 03:51
Distribution of car same irrespective of nos. So 3 reaches D out of 12. So 18 will reach D out of 72

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Re: A traffic survey shows that, of every 12 cars that arrive at point A [#permalink]

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13 Nov 2017, 04:26
Bunuel wrote:

A traffic survey shows that, of every 12 cars that arrive at point A, 7 turn toward point B and 5 turn toward point C. Of every 7 cars that arrive at point B, 3 turn toward point D and 4 turn toward point E. Of 72 cars arriving at point A, how many are expected eventually to turn toward point D?

(A) 18
(B) 24
(C) 26
(D) 32
(E) 42

It is a ratio question though that may not be apparent.

12 cars at point A, 7 go to B. Of these 7 at B, 3 go to D.

So A:D = 12:3 = 4:1
If actual number of cars at A is 72, the multiplier is 18. The number of cars at D would be 18.

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Re: A traffic survey shows that, of every 12 cars that arrive at point A   [#permalink] 13 Nov 2017, 04:26
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