At a safari park, each adult ticket cost $23 and each child ticket cost $14. On Tuesday, the number of adult tickets sold was 55 less than the number of child tickets. On Wednesday, the number of adult tickets sold decreased by 15% while the number of child tickets sold increased by 40%. If a total of 1427 tickets were sold on Wednesday, how much money was collected on Tuesday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 55 |
2 u + 55 |
Change |
- 0.15 u |
+ 0.4 u + 22 |
|
After |
0.85 u |
1.4 u + 77 |
2.25 u + 77 |
15% x 1 u =
15100 x 1 u = 0.15 u
40% x 1 u =
40100 x 1 u = 0.4 u
40% x 55 =
40100 x 55 = 22
Number of tickets sold on Wednesday
= 0.85 u + 1.4 u + 77
= 2.25 u + 77
2.25 u + 77 = 1427
2.25 u = 1427 - 77
2.25 u = 1350
1 u = 1350 ÷ 2.25 = 600
Amount collected from adult tickets on Tuesday
= 1 u x 23
= 600 x 23
= $13800
Amount collected from child tickets on Tuesday
= 14(1 u + 55)
= 14(600 + 55)
= 14 x 655
= $9170
Total amount collected on Tuesday
= 13800 + 9170
= $22970
Answer(s):$22970