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Friday, November 17 2017 @ 08:42 PM CST
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By: fanny6573 (offline)  Saturday, July 14 2012 @ 03:47 AM CDT (Read 787 times)  
fanny6573

Pls help to solve this question.
On Sat, there were 50 more females than males at the concert. On Sun, the number of females increased by 10% and the number of makes decreased by 20%, resulting in 625 people at the concert. Each ticket cost $25. How much money was collected on Sat?

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By: echeewh (offline)  Saturday, July 14 2012 @ 07:40 PM CDT  
echeewh

Hey Fanny,

Following pls find my worked solution:

<Sat>

***<------1p----><-50->
F |-----------------|--------|
M |-----------------|

<Process>
F inc 10% to 110% (11/10); M dec 20% to 80% (8/10)

Hence the equal 1 part (1p) portion in both the F and M models above can be divided into 10 equal smaller units (u). We now have ...

F: 10u + 50
M: 10u


<Sun>

F: (11/10) x [10u + 50] = 11u + 55
M: (8/10) x 10u = 8u

Given that there were 625 people at the concert on Sunday, we have ...

11u + 55 + 8u --> 625
19u --> 625 - 55 = 570
1u --> 30

Hence number of people at the concert on Sat
= 20u + 50 --> (20 x 30) + 50
= 650

Given that each ticket cost $25,

Amount collected on Sat = 650 x 25 = $16250

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

Trust the above helps.

Do let me know again should there be further clarification.

Cheers,
Edward

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