At a safari park, each adult ticket cost $33 and each child ticket cost $8. On Saturday, the number of adult tickets sold was 190 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 20%. If a total of 2118 tickets were sold on Sunday, how much money was collected on Saturday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 190 |
2 u + 190 |
Change |
- 0.1 u |
+ 0.2 u + 38 |
|
After |
0.9 u |
1.2 u + 228 |
2.1 u + 228 |
10% x 1 u =
10100 x 1 u = 0.1 u
20% x 1 u =
20100 x 1 u = 0.2 u
20% x 190 =
20100 x 190 = 38
Number of tickets sold on Sunday
= 0.9 u + 1.2 u + 228
= 2.1 u + 228
2.1 u + 228 = 2118
2.1 u = 2118 - 228
2.1 u = 1890
1 u = 1890 ÷ 2.1 = 900
Amount collected from adult tickets on Saturday
= 1 u x 33
= 900 x 33
= $29700
Amount collected from child tickets on Saturday
= 8(1 u + 190)
= 8(900 + 190)
= 8 x 1090
= $8720
Total amount collected on Saturday
= 29700 + 8720
= $38420
Answer(s):$38420