
By: khaye (offline) Monday, June 22 2015 @ 07:37 AM CDT (Read 1978 times)



khaye 
Hi, please help me to answer with working solution.thanks
1. There are 1200 people in a stadium. 2/5 of the adults are women and 2/3 of the children are girls.
How many children are there if there are a total of 6220 women and girls? ( ans.525)
2. There are 1280 people in a stadium. 2/5 of the adults are women and 2/3 of the children are girls.
How many girls are there if there are 720 females altogether? ( ans 520)

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Registered: 02/19/15 Posts: 8





By: echeewh (offline) Monday, June 22 2015 @ 04:27 PM CDT



echeewh 
Hey <khaye>,
I believe there are some typo errors with the numbers to Q1. Appreciate that you kindly recheck and verify and reedit the question. Thank you.
And if you can follow and understand the solution for Q2, you should be able to apply same for Q1 and solve the problem. Thank you again.
As for Q2, following is my worked solution:
Q2.
***  for alignment purpose
<Adults(A)>
W : M Tot
2 : 3 *** 5
<Children(C)>
G : B Tot
2 : 1 *** 3
5p (A) + 3u (C) = 1280  (1)
2p (W) + 2u (G) = 720  (2)
Eliminate (p) we have ...
(1)x2:
10p + 6u = 2560  (3)
(2)x5:
10p + 10u = 3600  (4)
(4)(3):
10u  6u > 3600  2560
4u > 1040
1u > 260
G = 2u > 2 × 260 = 520
=====
Trust this helps.
Do let me know again if there's further clarification.
Cheers,
Edward

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Registered: 04/21/11 Posts: 627





By: khaye (offline) Thursday, July 02 2015 @ 03:22 AM CDT



khaye 
Thanks Edward, I already answered Q1. using your method.
Sorry ,typo error should be 620 not 6220.

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Registered: 02/19/15 Posts: 8



