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 By: QiuJiao (offline)  Thursday, July 29 2010 @ 11:36 PM CDT (Read 1758 times)
QiuJiao

There were 156 more pupils in the playground than in the library, 1/5 of the pupils in the library were girls and 5/6 of pupils in the playground were boys, if the were 17 more girls in the playground than in the library, find the total number of pupils in the two place?

Thank you!

Newbie

Registered: 12/31/06
Posts: 8

 By: lemofish (offline)  Friday, July 30 2010 @ 03:09 AM CDT
lemofish

No. of boys in Playground=> 5p
No. of Girls in Playground: 1p
Total no. of boys & girls in playground=>6p

No. of boys in Library=> 4u
No. of girls in library => 1u
Total no. of boys & girls in library=>5u

Since there were 156 more pupils in playground than in Library,
6p-5u=156..(1)

and since there were 17 more girls in playground than it Library,
1p-1u=17..(2)
(2)x6,
6p-6u=102...(3)

(1) - (3),
u=54
p=17+54=71

Therefore, the no. of pupils in the 2 places is 6p+5u=426+270=696

Newbie

Registered: 07/29/10
Posts: 9

 By: QiuJiao (offline)  Thursday, August 05 2010 @ 02:00 AM CDT
QiuJiao

Thank you

Newbie

Registered: 12/31/06
Posts: 8

 By: rathanackumr (offline)  Monday, September 06 2010 @ 03:39 PM CDT
rathanackumr

Different approach using models

Junior

Registered: 07/22/10
Posts: 18

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