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Conference rusure::math

Title:Mathematics at DEC
Moderator:RUSURE::EDP
Created:Mon Feb 03 1986
Last Modified:Fri Jun 06 1997
Last Successful Update:Fri Jun 06 1997
Number of topics:2083
Total number of notes:14613

141.0. "Bus Equation" by HARE::STAN () Thu Aug 30 1984 18:10

From:	VIA::SCHUETZ      "Chris Schuetz - @ 2R04,  DTN 381-2647" 30-AUG-1984 12:50
To:	HARE::STAN ! SENT TO @FRIENDS
Subj:	Arithmetic puzzle

i need a little help acquiring an equation for the folllowing problem.
here's the problem:

a passenger boards a bus.
  "times square,please",said the passenger.
  "where did you get on?",asked the driver.
  "two stops after the stop which is one stop less than 
   halfway to times square",said the passenger.

the driver thought a while and replied:
  "the fare is 2 cents more than one half of one penny more than it would be 
if fares had risen 50% this morning.  that's how much you have to pay."

-->how much did the passenger have to pay???
T.RTitleUserPersonal
Name
DateLines
141.1HARE::STANThu Aug 30 1984 18:1114
answer: 10 cents.

Let F be the fare.
1.5F would be the fare if it were raised by 50%.
1.5F + 1 would be a penny more
(1.5F + 1)/2 would be half of that
(1.5F + 1)/2 + 2 would be two cents more

The fare F is expressed by:

	F = (1.5F + 1)/2 + 2
	F = 0.75F + 5/2
	0.25F = 2.5
	F = 10