At a park, each adult ticket cost $38 and each child ticket cost $9. On Monday, the number of adult tickets sold was 198 less than the number of child tickets. On Tuesday, the number of adult tickets sold decreased by 30% while the number of child tickets sold increased by 50%. If a total of 2057 tickets were sold on Tuesday, how much money was collected on Monday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 198 |
2 u + 198 |
Change |
- 0.3 u |
+ 0.5 u + 99 |
|
After |
0.7 u |
1.5 u + 297 |
2.2 u + 297 |
30% x 1 u =
30100 x 1 u = 0.3 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 198 =
50100 x 198 = 99
Number of tickets sold on Tuesday
= 0.7 u + 1.5 u + 297
= 2.2 u + 297
2.2 u + 297 = 2057
2.2 u = 2057 - 297
2.2 u = 1760
1 u = 1760 ÷ 2.2 = 800
Amount collected from adult tickets on Monday
= 1 u x 38
= 800 x 38
= $30400
Amount collected from child tickets on Monday
= 9(1 u + 198)
= 9(800 + 198)
= 9 x 998
= $8982
Total amount collected on Monday
= 30400 + 8982
= $39382
Answer(s):$39382