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By: JessicaTan (offline)  Friday, August 03 2012 @ 03:18 AM CDT (Read 634 times)  
JessicaTan

Hi, I am in trouble with the following questions kindly please help me with working solution.

12) A rectangle measures 50cm by 25cm. Its length and breadth are both increased by 20%. Find the percentage increase in its area.
( why can I do this way 50/120 x 100%?) (My answer key is 44%)




13) 40% of the number of seashells that Karina has is equal to 25% of the number of seashells that Mui Keng has. If Karina has 30 seashells less than Mui Keng . How many seashells do they have altogether? (my answer key is 130)



Thanks

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By: echeewh (offline)  Friday, August 03 2012 @ 04:19 PM CDT  
echeewh

Hi Jessica,

Following pls find the worked solutions:

Q12.

New L = (120/100) x 50 = 60
New B = (120/100) x 25 = 30
New Area = 60 x 30 = 1800
Original Area = 50 x 25 = 1250
Inc in Area = 1800 - 1250 = 550
% inc in Area = [Inc in Area / Original Area] x 100
= [550 / 1250] x 100 = 44%

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

Q13.

40% = (40/100) = (2/5)
25% = (1/4)
Apply <Equal Concept>, we have ..
(2/5) K = (1/4) M
(2/5) K = (2/8) M
Hence, K = 5u ; M = 8u

Given that M - K = 30, we have ...
8u - 5u --> 30
3u --> 30
1u --> 10

Total = 13u --> 13 x 10 = 130

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

Trust the above helps.

Do let me know again should there be any clarification.

Cheers,
Edward

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