At a safari park, each adult ticket cost $34 and each child ticket cost $7. On Saturday, the number of adult tickets sold was 200 less than the number of child tickets. On Sunday, the number of adult tickets sold decreased by 50% while the number of child tickets sold increased by 30%. If a total of 980 tickets were sold on Sunday, how much money was collected on Saturday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 200 |
2 u + 200 |
Change |
- 0.5 u |
+ 0.3 u + 60 |
|
After |
0.5 u |
1.3 u + 260 |
1.8 u + 260 |
50% x 1 u =
50100 x 1 u = 0.5 u
30% x 1 u =
30100 x 1 u = 0.3 u
30% x 200 =
30100 x 200 = 60
Number of tickets sold on Sunday
= 0.5 u + 1.3 u + 260
= 1.8 u + 260
1.8 u + 260 = 980
1.8 u = 980 - 260
1.8 u = 720
1 u = 720 ÷ 1.8 = 400
Amount collected from adult tickets on Saturday
= 1 u x 34
= 400 x 34
= $13600
Amount collected from child tickets on Saturday
= 7(1 u + 200)
= 7(400 + 200)
= 7 x 600
= $4200
Total amount collected on Saturday
= 13600 + 4200
= $17800
Answer(s):$17800