
By: fanny6573 (offline) Saturday, July 14 2012 @ 03:47 AM CDT (Read 758 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?

Junior
Registered: 07/19/10 Posts: 28





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

Active Member
Registered: 04/21/11 Posts: 623



