At a theme park, each adult ticket cost $34 and each child ticket cost $10. On Wednesday, the number of adult tickets sold was 188 less than the number of child tickets. On Thursday, the number of adult tickets sold decreased by 40% while the number of child tickets sold increased by 50%. If a total of 1332 tickets were sold on Thursday, how much money was collected on Wednesday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 188 |
2 u + 188 |
Change |
- 0.4 u |
+ 0.5 u + 94 |
|
After |
0.6 u |
1.5 u + 282 |
2.1 u + 282 |
40% x 1 u =
40100 x 1 u = 0.4 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 188 =
50100 x 188 = 94
Number of tickets sold on Thursday
= 0.6 u + 1.5 u + 282
= 2.1 u + 282
2.1 u + 282 = 1332
2.1 u = 1332 - 282
2.1 u = 1050
1 u = 1050 ÷ 2.1 = 500
Amount collected from adult tickets on Wednesday
= 1 u x 34
= 500 x 34
= $17000
Amount collected from child tickets on Wednesday
= 10(1 u + 188)
= 10(500 + 188)
= 10 x 688
= $6880
Total amount collected on Wednesday
= 17000 + 6880
= $23880
Answer(s):$23880