At a safari park, each adult ticket cost $24 and each child ticket cost $7. On Tuesday, the number of adult tickets sold was 200 less than the number of child tickets. On Wednesday, the number of adult tickets sold decreased by 5% while the number of child tickets sold increased by 20%. If a total of 1530 tickets were sold on Wednesday, how much money was collected on Tuesday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 200 |
2 u + 200 |
Change |
- 0.05 u |
+ 0.2 u + 40 |
|
After |
0.95 u |
1.2 u + 240 |
2.15 u + 240 |
5% x 1 u =
5100 x 1 u = 0.05 u
20% x 1 u =
20100 x 1 u = 0.2 u
20% x 200 =
20100 x 200 = 40
Number of tickets sold on Wednesday
= 0.95 u + 1.2 u + 240
= 2.15 u + 240
2.15 u + 240 = 1530
2.15 u = 1530 - 240
2.15 u = 1290
1 u = 1290 ÷ 2.15 = 600
Amount collected from adult tickets on Tuesday
= 1 u x 24
= 600 x 24
= $14400
Amount collected from child tickets on Tuesday
= 7(1 u + 200)
= 7(600 + 200)
= 7 x 800
= $5600
Total amount collected on Tuesday
= 14400 + 5600
= $20000
Answer(s):$20000