At a bird park, each adult ticket cost $40 and each child ticket cost $5. On Saturday, the number of adult tickets sold was 78 less than the number of child tickets. On Sunday, the number of adult tickets sold decreased by 30% while the number of child tickets sold increased by 50%. If a total of 997 tickets were sold on Sunday, how much money was collected on Saturday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 78 |
2 u + 78 |
Change |
- 0.3 u |
+ 0.5 u + 39 |
|
After |
0.7 u |
1.5 u + 117 |
2.2 u + 117 |
30% x 1 u =
30100 x 1 u = 0.3 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 78 =
50100 x 78 = 39
Number of tickets sold on Sunday
= 0.7 u + 1.5 u + 117
= 2.2 u + 117
2.2 u + 117 = 997
2.2 u = 997 - 117
2.2 u = 880
1 u = 880 ÷ 2.2 = 400
Amount collected from adult tickets on Saturday
= 1 u x 40
= 400 x 40
= $16000
Amount collected from child tickets on Saturday
= 5(1 u + 78)
= 5(400 + 78)
= 5 x 478
= $2390
Total amount collected on Saturday
= 16000 + 2390
= $18390
Answer(s):$18390