At a bird park, each adult ticket cost $36 and each child ticket cost $11. On Tuesday, the number of adult tickets sold was 130 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 632 tickets were sold on Wednesday, how much money was collected on Tuesday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 130 |
2 u + 130 |
Change |
- 0.15 u |
+ 0.4 u + 52 |
|
After |
0.85 u |
1.4 u + 182 |
2.25 u + 182 |
15% x 1 u =
15100 x 1 u = 0.15 u
40% x 1 u =
40100 x 1 u = 0.4 u
40% x 130 =
40100 x 130 = 52
Number of tickets sold on Wednesday
= 0.85 u + 1.4 u + 182
= 2.25 u + 182
2.25 u + 182 = 632
2.25 u = 632 - 182
2.25 u = 450
1 u = 450 ÷ 2.25 = 200
Amount collected from adult tickets on Tuesday
= 1 u x 36
= 200 x 36
= $7200
Amount collected from child tickets on Tuesday
= 11(1 u + 130)
= 11(200 + 130)
= 11 x 330
= $3630
Total amount collected on Tuesday
= 7200 + 3630
= $10830
Answer(s):$10830