At a bird park, each adult ticket cost $33 and each child ticket cost $16. On Saturday, the number of adult tickets sold was 76 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 354 tickets were sold on Sunday, how much money was collected on Saturday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 76 |
2 u + 76 |
Change |
- 0.1 u |
+ 0.5 u + 38 |
|
After |
0.9 u |
1.5 u + 114 |
2.4 u + 114 |
10% x 1 u =
10100 x 1 u = 0.1 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 76 =
50100 x 76 = 38
Number of tickets sold on Sunday
= 0.9 u + 1.5 u + 114
= 2.4 u + 114
2.4 u + 114 = 354
2.4 u = 354 - 114
2.4 u = 240
1 u = 240 ÷ 2.4 = 100
Amount collected from adult tickets on Saturday
= 1 u x 33
= 100 x 33
= $3300
Amount collected from child tickets on Saturday
= 16(1 u + 76)
= 16(100 + 76)
= 16 x 176
= $2816
Total amount collected on Saturday
= 3300 + 2816
= $6116
Answer(s):$6116