At a tourist attraction, each adult ticket cost $32 and each child ticket cost $13. On Saturday, the number of adult tickets sold was 135 less than the number of child tickets. On Sunday, the number of adult tickets sold decreased by 15% while the number of child tickets sold increased by 20%. If a total of 1187 tickets were sold on Sunday, how much money was collected on Saturday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 135 |
2 u + 135 |
Change |
- 0.15 u |
+ 0.2 u + 27 |
|
After |
0.85 u |
1.2 u + 162 |
2.05 u + 162 |
15% x 1 u =
15100 x 1 u = 0.15 u
20% x 1 u =
20100 x 1 u = 0.2 u
20% x 135 =
20100 x 135 = 27
Number of tickets sold on Sunday
= 0.85 u + 1.2 u + 162
= 2.05 u + 162
2.05 u + 162 = 1187
2.05 u = 1187 - 162
2.05 u = 1025
1 u = 1025 ÷ 2.05 = 500
Amount collected from adult tickets on Saturday
= 1 u x 32
= 500 x 32
= $16000
Amount collected from child tickets on Saturday
= 13(1 u + 135)
= 13(500 + 135)
= 13 x 635
= $8255
Total amount collected on Saturday
= 16000 + 8255
= $24255
Answer(s):$24255