At a tourist attraction, each adult ticket cost $38 and each child ticket cost $5. On Saturday, the number of adult tickets sold was 184 less than the number of child tickets. On Sunday, the number of adult tickets sold decreased by 10% while the number of child tickets sold increased by 50%. If a total of 756 tickets were sold on Sunday, how much money was collected on Saturday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 184 |
2 u + 184 |
Change |
- 0.1 u |
+ 0.5 u + 92 |
|
After |
0.9 u |
1.5 u + 276 |
2.4 u + 276 |
10% x 1 u =
10100 x 1 u = 0.1 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 184 =
50100 x 184 = 92
Number of tickets sold on Sunday
= 0.9 u + 1.5 u + 276
= 2.4 u + 276
2.4 u + 276 = 756
2.4 u = 756 - 276
2.4 u = 480
1 u = 480 ÷ 2.4 = 200
Amount collected from adult tickets on Saturday
= 1 u x 38
= 200 x 38
= $7600
Amount collected from child tickets on Saturday
= 5(1 u + 184)
= 5(200 + 184)
= 5 x 384
= $1920
Total amount collected on Saturday
= 7600 + 1920
= $9520
Answer(s):$9520