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 By: khaye (offline)  Monday, June 22 2015 @ 07:37 AM CDT (Read 2090 times)
khaye

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 re-edit 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

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

Active Member

Registered: 04/21/11
Posts: 627

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

Sorry ,typo error should be 620 not 6220.

Newbie

Registered: 02/19/15
Posts: 8

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