At a tourist attraction, each adult ticket cost $30 and each child ticket cost $16. On Wednesday, the number of adult tickets sold was 160 less than the number of child tickets. On Thursday, the number of adult tickets sold decreased by 30% while the number of child tickets sold increased by 15%. If a total of 1664 tickets were sold on Thursday, how much money was collected on Wednesday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 160 |
2 u + 160 |
Change |
- 0.3 u |
+ 0.15 u + 24 |
|
After |
0.7 u |
1.15 u + 184 |
1.85 u + 184 |
30% x 1 u =
30100 x 1 u = 0.3 u
15% x 1 u =
15100 x 1 u = 0.15 u
15% x 160 =
15100 x 160 = 24
Number of tickets sold on Thursday
= 0.7 u + 1.15 u + 184
= 1.85 u + 184
1.85 u + 184 = 1664
1.85 u = 1664 - 184
1.85 u = 1480
1 u = 1480 ÷ 1.85 = 800
Amount collected from adult tickets on Wednesday
= 1 u x 30
= 800 x 30
= $24000
Amount collected from child tickets on Wednesday
= 16(1 u + 160)
= 16(800 + 160)
= 16 x 960
= $15360
Total amount collected on Wednesday
= 24000 + 15360
= $39360
Answer(s):$39360