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On a certain road 10% of the motorists exceed the posted speed limit
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dabaobao
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Re: On a certain road 10% of the motorists exceed the posted speed limit [#permalink] New post  19 Dec 2018, 17:07
chintzzz wrote:
On a certain road 10% of the motorists exceed the posted speed limit and receive speeding tickets, but 20% of the motorists who exceed the posted speed limit do not receive speeding tickets. What percent of the motorists on the road exceed the posted speed limit?

A. 10.5%
B. 12.5%
C. 15%
D. 22%
E. 30%


0.8x = 10%
x = 10%/0.8 = 12.5%
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CEdward
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Re: On a certain road 10% of the motorists exceed the posted speed limit [#permalink] New post  25 Jan 2021, 17:51
Let the total number of people be 100.
Let y be the total number of speeders <--- This is the count we want.

10% of 100 = 10 <--- Speeders who got a ticket.
20% x y = y/5 <---- Speeders who did not get a ticket.
80% x y = 4y/5 <----- Speeders who did get a ticket

4y/5 = 10
y = 12.5

Answer is B.
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Saransh123
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Re: On a certain road 10% of the motorists exceed the posted speed limit [#permalink] New post  27 Jan 2021, 02:44
gmat1220 ,why did we choose variable x when this problem can be solved without 'x' but with different answer(Answer = 30), please explain
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