At a zoo, each adult ticket cost $26 and each child ticket cost $10. On Saturday, the number of adult tickets sold was 110 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 50%. If a total of 1340 tickets were sold on Sunday, how much money was collected on Saturday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 110 |
2 u + 110 |
Change |
- 0.15 u |
+ 0.5 u + 55 |
|
After |
0.85 u |
1.5 u + 165 |
2.35 u + 165 |
15% x 1 u =
15100 x 1 u = 0.15 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 110 =
50100 x 110 = 55
Number of tickets sold on Sunday
= 0.85 u + 1.5 u + 165
= 2.35 u + 165
2.35 u + 165 = 1340
2.35 u = 1340 - 165
2.35 u = 1175
1 u = 1175 ÷ 2.35 = 500
Amount collected from adult tickets on Saturday
= 1 u x 26
= 500 x 26
= $13000
Amount collected from child tickets on Saturday
= 10(1 u + 110)
= 10(500 + 110)
= 10 x 610
= $6100
Total amount collected on Saturday
= 13000 + 6100
= $19100
Answer(s):$19100