
By: JessicaTan (offline) Saturday, August 24 2013 @ 10:04 PM CDT (Read 1669 times)



JessicaTan 
HI, please help with working solution, attached with file.
Thanks

Regular Member
Registered: 10/17/09 Posts: 82





By: eqkt (offline) Sunday, August 25 2013 @ 12:06 AM CDT



eqkt 
Dear Jessica,
Below is my solution.
40x8=320
Small tent> 8 pupils per tent, so we would make it 8p
Big tent> 12 pupils per tent, so we would make it 12p.
If there were no 40 extra small tents, the number of big tents and small tents will be equal. Hence, we ignore the 320 pupils in the 40 extra small tents first. We also do not know the actual number of equal small tents and big tents, however, we call label the small tents as 8p and big tents as 12p.
8p+320 pupils> pupils in small tents altogether.
4p+160 pupils> pupils in big tents altogether
4p+160 pupils>12p
124=8
8p>160
1p>20
20x12+240
240+160=400
400+320=720(ans)
Cheers,
KJ

Junior
Registered: 03/18/10 Posts: 18





By: echeewh (offline) Sunday, August 25 2013 @ 01:22 AM CDT



echeewh 
Hey Jessica,
Following is an Alternative method in my worked solution:
<pupil ratio in S, B tents>
S : B
2 : 1
<number of tents>
= (number of pupils) ÷ (number of pupils per tent)
Number of S tents
= 2u ÷ 8 = (2u / 8)
Number of B tents
= 1u ÷ 12 = (1u / 12)
Given that there were 40 more smaller (S) tents than bigger (B ) tents, we have ...
S  B = 40
(2u / 8)  (1u / 12) = 40
Lowest Common Multiple (LCM) of 8, 12 is 24. Hence, multiply above equation 24x.
6u  2u = 40 × 24
4u > 960
1u > 240
Number of pupils in camping trip = 3u
3u > 3 × 240 = 720
==========
Trust this helps.
Do let me know again if this is different from your <Answerkey> or if there's further clarifications.
Cheers,
Edward

Active Member
Registered: 04/21/11 Posts: 627





By: JessicaTan (offline) Sunday, August 25 2013 @ 04:41 AM CDT



JessicaTan 
Dear Edward,
Thank You for your help , but , where and how do you get 6u2u?
Jessica

Regular Member
Registered: 10/17/09 Posts: 82





By: echeewh (offline) Sunday, August 25 2013 @ 05:34 AM CDT



echeewh 
Hi Jessica,
Referring to your question  " where and how do you get 6u2u?" ,
Remember we have to multiply the following equation 24x.
(2u / 8)  (1u / 12) = 40
And this becomes ...
[(2u / 8) × 24]  [(1u / 12) × 24] = 40 × 24
6u  2u = 960
And the rest follows accordingly...
========
Trust this clarifies.
Best regards,
Edward

Active Member
Registered: 04/21/11 Posts: 627





By: JessicaTan (offline) Sunday, August 25 2013 @ 06:49 AM CDT



JessicaTan 
Thank you for your help, Edward.
Jessica

Regular Member
Registered: 10/17/09 Posts: 82



