set@bnl.UUCP (William Tatum) (08/24/84)
[a little help can mean a lot!]
i need a little help aquiring an equation for the folllowing problem.i know the answer is 10cents but don't know how to get there..help!?!?
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???
answer: 10 cents.
how would one go about getting there?there must be a logical equation.any help will be appreciated.
thanks again,
william tatun
(set@bnl)derek@uwvax.ARPA (08/28/84)
Consider:
FARE = (2 cents more than) (half of(1 cent more than( 3/2 FARE)))
F = 2 + ( 1/2 ( 3/2 F + 1))
F = 5/2 + 3/4 F
1/4 F = 5/2
F = 10
Derek Zahn @ wisconsin
...!{allegra,heurikon,ihnp4,seismo,sfwin,ucbvax,uwm-evax}!uwvax!derek
derek@wisc-rsch.arpa
--
Derek Zahn @ wisconsin
...!{allegra,heurikon,ihnp4,seismo,sfwin,ucbvax,uwm-evax}!uwvax!derek
derek@wisc-rsch.arparon@brl-tgr.ARPA (Ron Natalie <ron>) (08/28/84)
Newsgroups: net.games Subject: Re: i need help.... References: <632@bnl.UUCP> Let F be teh 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
richl@daemon.UUCP (Rick Lindsley) (09/02/84)
I was taught an easy way to translate story problems, and it works well here.... First off, the passenger's statement is only to confuse you. Ignore it. However, the driver says "the fare is 2 cents more than one half of one penny more than it would be if fares had risen 50% this morning." I was taught to translate this word by word. Using the variable F for the unknown fare... "the fare is..." F = "...2 cents more than..." F = 2 + "...one half of..." F = 2 + 0.5( "...one penny more than..." F = 2 + 0.5(1 + "...it would be if fares had risen 50% this morning." F = 2 + 0.5(1 + (1 + 0.5)F) This simplifies to F = 2 + 0.5 + 0.75F 0.25F = 2.5 F = 10 The hard part is figuring out whether he meant "the fare is 2 cents more than one half of [ one penny more than it would be if fares had risen 50% this morning. ]" or "the fare is 2 cents more than [ one half of one penny ] more than it would be if fares had risen 50% this morning." but the latter sounds grammatically strange. Besides, the equation then would work out to be F = 2.5 + 1.5F or they are paying people a nickel apiece to ride the bus! Rick