At a concert hall, each adult ticket cost $24 and each child ticket cost $16. On Monday, the number of adult tickets sold was 200 less than the number of child tickets. On Tuesday, the number of adult tickets sold decreased by 40% while the number of child tickets sold increased by 10%. If a total of 730 tickets were sold on Tuesday, how much money was collected on Monday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 200 |
2 u + 200 |
Change |
- 0.4 u |
+ 0.1 u + 20 |
|
After |
0.6 u |
1.1 u + 220 |
1.7 u + 220 |
40% x 1 u =
40100 x 1 u = 0.4 u
10% x 1 u =
10100 x 1 u = 0.1 u
10% x 200 =
10100 x 200 = 20
Number of tickets sold on Tuesday
= 0.6 u + 1.1 u + 220
= 1.7 u + 220
1.7 u + 220 = 730
1.7 u = 730 - 220
1.7 u = 510
1 u = 510 ÷ 1.7 = 300
Amount collected from adult tickets on Monday
= 1 u x 24
= 300 x 24
= $7200
Amount collected from child tickets on Monday
= 16(1 u + 200)
= 16(300 + 200)
= 16 x 500
= $8000
Total amount collected on Monday
= 7200 + 8000
= $15200
Answer(s):$15200