At a tourist attraction, each adult ticket cost $23 and each child ticket cost $14. On Wednesday, the number of adult tickets sold was 136 less than the number of child tickets. On Thursday, the number of adult tickets sold decreased by 10% while the number of child tickets sold increased by 50%. If a total of 1404 tickets were sold on Thursday, how much money was collected on Wednesday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 136 |
2 u + 136 |
Change |
- 0.1 u |
+ 0.5 u + 68 |
|
After |
0.9 u |
1.5 u + 204 |
2.4 u + 204 |
10% x 1 u =
10100 x 1 u = 0.1 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 136 =
50100 x 136 = 68
Number of tickets sold on Thursday
= 0.9 u + 1.5 u + 204
= 2.4 u + 204
2.4 u + 204 = 1404
2.4 u = 1404 - 204
2.4 u = 1200
1 u = 1200 ÷ 2.4 = 500
Amount collected from adult tickets on Wednesday
= 1 u x 23
= 500 x 23
= $11500
Amount collected from child tickets on Wednesday
= 14(1 u + 136)
= 14(500 + 136)
= 14 x 636
= $8904
Total amount collected on Wednesday
= 11500 + 8904
= $20404
Answer(s):$20404