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 P5 Rosyth SA2 Paper 2 Q17 (average question)
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By: leawshirlyn (offline)  Sunday, September 23 2012 @ 04:27 AM CDT (Read 1355 times)  
leawshirlyn

Hi, would appreciate all yr help in solving the question. Thanks much ..

Q17) In May, the average number of participants in 1 pottery class was 24. In June, 5 new pottery classes were added. The average number of participants in all the pottery classes became 26. If there were 32 participants in each of the new pottery classes, find the total number of participants in all the pottery classes in June.

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By: echeewh (offline)  Sunday, September 23 2012 @ 11:25 PM CDT  
echeewh

hey shirlyn

Following pls find my worked solution.

May:
Let number of classes in May be 1u.

Total participants (May) = 1u x 24 = 24u

June:
5 new classes added.
Total classes (Jun) = 1u + 5
Number of new participants = 32 x 5 = 160
So total participants (Jun) = 24u + 160 -- (1)

Given June average is 26, we have ...
Total participants (Jun) = 26 x (1u + 5) = 26u + 130 -- (2)

Comparing (1),(2), we have ...

24u + 160 = 26u + 130
26u - 24u --> 160 - 130
2u --> 30
1u --> 15

Total classes (Jun) = 1u + 5 --> 15 + 5 = 20
Total participants (Jun) = 26 x (1u + 5) = 26 x 20 = 520

========================

Trust this helps.

Do let me know again if there's further clarifications.

Cheers,
Edward

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By: gohhl67 (offline)  Thursday, September 27 2012 @ 02:35 AM CDT  
gohhl67

26x5=130
32x5=160
160-130=30
30/2=15
(15x24)+160=520
Ans:520 Big Grin Smile Cool Laughing Out Loud Razz Wink

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