At a zoo, each adult ticket cost $36 and each child ticket cost $15. On Thursday, the number of adult tickets sold was 80 less than the number of child tickets. On Friday, the number of adult tickets sold decreased by 20% while the number of child tickets sold increased by 50%. If a total of 1730 tickets were sold on Friday, how much money was collected on Thursday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 80 |
2 u + 80 |
Change |
- 0.2 u |
+ 0.5 u + 40 |
|
After |
0.8 u |
1.5 u + 120 |
2.3 u + 120 |
20% x 1 u =
20100 x 1 u = 0.2 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 80 =
50100 x 80 = 40
Number of tickets sold on Friday
= 0.8 u + 1.5 u + 120
= 2.3 u + 120
2.3 u + 120 = 1730
2.3 u = 1730 - 120
2.3 u = 1610
1 u = 1610 ÷ 2.3 = 700
Amount collected from adult tickets on Thursday
= 1 u x 36
= 700 x 36
= $25200
Amount collected from child tickets on Thursday
= 15(1 u + 80)
= 15(700 + 80)
= 15 x 780
= $11700
Total amount collected on Thursday
= 25200 + 11700
= $36900
Answer(s):$36900