At a tourist attraction, each adult ticket cost $31 and each child ticket cost $8. On Wednesday, the number of adult tickets sold was 180 less than the number of child tickets. On Thursday, the number of adult tickets sold decreased by 20% while the number of child tickets sold increased by 35%. If a total of 1318 tickets were sold on Thursday, how much money was collected on Wednesday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 180 |
2 u + 180 |
Change |
- 0.2 u |
+ 0.35 u + 63 |
|
After |
0.8 u |
1.35 u + 243 |
2.15 u + 243 |
20% x 1 u =
20100 x 1 u = 0.2 u
35% x 1 u =
35100 x 1 u = 0.35 u
35% x 180 =
35100 x 180 = 63
Number of tickets sold on Thursday
= 0.8 u + 1.35 u + 243
= 2.15 u + 243
2.15 u + 243 = 1318
2.15 u = 1318 - 243
2.15 u = 1075
1 u = 1075 ÷ 2.15 = 500
Amount collected from adult tickets on Wednesday
= 1 u x 31
= 500 x 31
= $15500
Amount collected from child tickets on Wednesday
= 8(1 u + 180)
= 8(500 + 180)
= 8 x 680
= $5440
Total amount collected on Wednesday
= 15500 + 5440
= $20940
Answer(s):$20940