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The toll to pass a bridge is $0.75 for each time. Costing

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The toll to pass a bridge is $0.75 for each time. Costing [#permalink] New post 22 Mar 2005, 08:49
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The toll to pass a bridge is $0.75 for each time. Costing $13, you can get a STICKER and with which you would be charged only $0.3 for each time. A person goes across the bridge twice on each of X days every month. If he wants save money by buying a STICKER, what is the least value of X for him?
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 [#permalink] New post 22 Mar 2005, 09:45
I got the equation:

13+0.30X= 0.75X which yields 28.89.

This means he has to cross the bridge 29 times to save money meaning he has to drive 15 days to save.

I get 15.
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 [#permalink] New post 22 Mar 2005, 11:36
1.5X - 0.6X-13 > 0
0.9X > 13
X > 130/9
X > 14

So X = 15
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 [#permalink] New post 29 Mar 2005, 10:43
same reasoning as mentioned above
15 days

what's the OA?
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 [#permalink] New post 04 Apr 2005, 11:12
I'm at a loss here.....

how did you guys interpret Costing $13, you can get a STICKER and with which you would be charged only $0.3 for each time
Please explain.
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 [#permalink] New post 08 Apr 2005, 09:03
If he buys the sticker, he saves .45 per day...so to save 13 (which is the cost of the sticker), he will have to use the sticker for 13/.9 = 14.4 days = approx 15 days

HTH
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let there be light :idea:
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 [#permalink] New post 08 Apr 2005, 18:21
correction...

if he buys the sticker, he will save .45 PER TRIP (and not per day) as mentioned in my previous post....hence the figure 13/.9...

cheers!
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 [#permalink] New post 08 Apr 2005, 18:27
i guess it should be 14,,,,becuse it ask for the least ,,,,,,
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 [#permalink] New post 10 Apr 2005, 06:03
I get 15 days...

Travel per day without sticker: $1.50
Travel per day with sticker: $0.30 + $13/x

Therefore, in order to determine the point at which the sticker becomes more cost effective:

$13+$0.6x=$1.5x, where x is equal to the number of days traveled.

$13=$0.9x
13/9=x=14.44

Since we're talking about days traveled (and not number of times s/he crosses the bridge), the person will need to travel 15 days per month in order to save money with the sticker.
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 [#permalink] New post 10 Apr 2005, 06:11
[quote="kwasi7"]I'm at a loss here.....

how did you guys interpret [color=blue]Costing $13, you can get a STICKER and with which you would be charged only $0.3 for each time[/color]
Please explain.[/quote]

I read that it means: if you buy the sticker for $13, you will have to pay $0.30 per toll, as opposed to the full price of $0.75 per toll (or, you save $0.45 per toll).
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 [#permalink] New post 11 Apr 2005, 00:01
halahpeno wrote:
kwasi7 wrote:
I'm at a loss here.....

how did you guys interpret Costing $13, you can get a STICKER and with which you would be charged only $0.3 for each time
Please explain.


I read that it means: if you buy the sticker for $13, you will have to pay $0.30 per toll, as opposed to the full price of $0.75 per toll (or, you save $0.45 per toll).


Thanks a lot, i've seen the light now :-D
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 [#permalink] New post 11 Apr 2005, 01:05
Without sticker, 2*0.75*X = 1.5X
With sticker, it will cost 13 + 2*0.3X = 13+0.6X

We want

13+0.6x =< 1.5x
13 =<0.9x
x>=14.4

least value of x will be the lowest limit, x = 15
  [#permalink] 11 Apr 2005, 01:05
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