At a bird park, each adult ticket cost $34 and each child ticket cost $14. On Saturday, the number of adult tickets sold was 170 less than the number of child tickets. On Sunday, the number of adult tickets sold decreased by 45% while the number of child tickets sold increased by 40%. If a total of 1798 tickets were sold on Sunday, how much money was collected on Saturday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 170 |
2 u + 170 |
Change |
- 0.45 u |
+ 0.4 u + 68 |
|
After |
0.55 u |
1.4 u + 238 |
1.95 u + 238 |
45% x 1 u =
45100 x 1 u = 0.45 u
40% x 1 u =
40100 x 1 u = 0.4 u
40% x 170 =
40100 x 170 = 68
Number of tickets sold on Sunday
= 0.55 u + 1.4 u + 238
= 1.95 u + 238
1.95 u + 238 = 1798
1.95 u = 1798 - 238
1.95 u = 1560
1 u = 1560 ÷ 1.95 = 800
Amount collected from adult tickets on Saturday
= 1 u x 34
= 800 x 34
= $27200
Amount collected from child tickets on Saturday
= 14(1 u + 170)
= 14(800 + 170)
= 14 x 970
= $13580
Total amount collected on Saturday
= 27200 + 13580
= $40780
Answer(s):$40780