At a theme park, each adult ticket cost $37 and each child ticket cost $8. On Tuesday, the number of adult tickets sold was 138 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 50%. If a total of 2087 tickets were sold on Wednesday, how much money was collected on Tuesday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 138 |
2 u + 138 |
Change |
- 0.15 u |
+ 0.5 u + 69 |
|
After |
0.85 u |
1.5 u + 207 |
2.35 u + 207 |
15% x 1 u =
15100 x 1 u = 0.15 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 138 =
50100 x 138 = 69
Number of tickets sold on Wednesday
= 0.85 u + 1.5 u + 207
= 2.35 u + 207
2.35 u + 207 = 2087
2.35 u = 2087 - 207
2.35 u = 1880
1 u = 1880 ÷ 2.35 = 800
Amount collected from adult tickets on Tuesday
= 1 u x 37
= 800 x 37
= $29600
Amount collected from child tickets on Tuesday
= 8(1 u + 138)
= 8(800 + 138)
= 8 x 938
= $7504
Total amount collected on Tuesday
= 29600 + 7504
= $37104
Answer(s):$37104