At a tourist attraction, each adult ticket cost $30 and each child ticket cost $12. On Tuesday, the number of adult tickets sold was 145 less than the number of child tickets. On Wednesday, the number of adult tickets sold decreased by 30% while the number of child tickets sold increased by 20%. If a total of 1504 tickets were sold on Wednesday, how much money was collected on Tuesday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 145 |
2 u + 145 |
Change |
- 0.3 u |
+ 0.2 u + 29 |
|
After |
0.7 u |
1.2 u + 174 |
1.9 u + 174 |
30% x 1 u =
30100 x 1 u = 0.3 u
20% x 1 u =
20100 x 1 u = 0.2 u
20% x 145 =
20100 x 145 = 29
Number of tickets sold on Wednesday
= 0.7 u + 1.2 u + 174
= 1.9 u + 174
1.9 u + 174 = 1504
1.9 u = 1504 - 174
1.9 u = 1330
1 u = 1330 ÷ 1.9 = 700
Amount collected from adult tickets on Tuesday
= 1 u x 30
= 700 x 30
= $21000
Amount collected from child tickets on Tuesday
= 12(1 u + 145)
= 12(700 + 145)
= 12 x 845
= $10140
Total amount collected on Tuesday
= 21000 + 10140
= $31140
Answer(s):$31140