At a zoo, each adult ticket cost $35 and each child ticket cost $13. On Saturday, the number of adult tickets sold was 90 less than the number of child tickets. On Sunday, the number of adult tickets sold decreased by 20% while the number of child tickets sold increased by 40%. If a total of 346 tickets were sold on Sunday, how much money was collected on Saturday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 90 |
2 u + 90 |
Change |
- 0.2 u |
+ 0.4 u + 36 |
|
After |
0.8 u |
1.4 u + 126 |
2.2 u + 126 |
20% x 1 u =
20100 x 1 u = 0.2 u
40% x 1 u =
40100 x 1 u = 0.4 u
40% x 90 =
40100 x 90 = 36
Number of tickets sold on Sunday
= 0.8 u + 1.4 u + 126
= 2.2 u + 126
2.2 u + 126 = 346
2.2 u = 346 - 126
2.2 u = 220
1 u = 220 ÷ 2.2 = 100
Amount collected from adult tickets on Saturday
= 1 u x 35
= 100 x 35
= $3500
Amount collected from child tickets on Saturday
= 13(1 u + 90)
= 13(100 + 90)
= 13 x 190
= $2470
Total amount collected on Saturday
= 3500 + 2470
= $5970
Answer(s):$5970