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 Forum Index >  Test Paper Related >  Primary 5 Matters Rosyth CA2 Maths 2011 Q17. Need help, please.if possible, algebra mtd is preferred.
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 By: Phoenix (offline)  Thursday, August 09 2012 @ 12:14 AM CDT (Read 1159 times)
Phoenix

A bus left the interchange with some passengers on board. At bus stop A, 10 passengers boarded the bus. When it reached Bus Stop B, 3/4 of the passengers alighted. The bus continued its journey and at Bus Stop C, 2/3 of the passengers alighted while 3 passengers boarded the bus. There were 18 passengers on the bus when it left Bus Stop C. How many passengers were on the bus when it left the interchange?

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Registered: 12/31/11
Posts: 14

 By: jo sarah (offline)  Thursday, August 09 2012 @ 08:58 AM CDT
jo sarah

Hi,

We start from the end -- call it "Working Backward":
Left Stop C: 18 ... these include the 3 who boarded.
so, without those boarding, there were 18 - 3 = 15, which is 1/3 of no. when it arrived at C
so, when arrived at C, it had 15 x 3 = 45 (same as when left
Left Stop B: 45 ... 3/4 alighted i.e what left is 1/4;
so, no. when arrived at B = 45 x 4 = 180 (same as when left A)
Left Stop A: 180 ... included 10 who boarded
so, actually had 180 - 10 = 170 when arrived at A
which is the no. it left the Interchange with.

So, the bus left Interchange with 170 passengers.

Check:
---------
Interchange: 170
At A: 170 + 10 = 180
At B: 135 alighted, left with 45
At C: 30 alighted, 3 boarded, so 18

Cheerio!

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Registered: 03/20/12
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 By: jo sarah (offline)  Thursday, August 09 2012 @ 09:01 AM CDT
jo sarah

Sorry, i didn't draw that smiley face... the system corrupted my typing...
words there was to mean:
..... same as when left Stop B

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Registered: 03/20/12
Posts: 111

 By: Phoenix (offline)  Thursday, August 09 2012 @ 10:04 PM CDT
Phoenix