At a safari park, each adult ticket cost $39 and each child ticket cost $11. On Thursday, the number of adult tickets sold was 130 less than the number of child tickets. On Friday, the number of adult tickets sold decreased by 40% while the number of child tickets sold increased by 20%. If a total of 1056 tickets were sold on Friday, how much money was collected on Thursday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 130 |
2 u + 130 |
Change |
- 0.4 u |
+ 0.2 u + 26 |
|
After |
0.6 u |
1.2 u + 156 |
1.8 u + 156 |
40% x 1 u =
40100 x 1 u = 0.4 u
20% x 1 u =
20100 x 1 u = 0.2 u
20% x 130 =
20100 x 130 = 26
Number of tickets sold on Friday
= 0.6 u + 1.2 u + 156
= 1.8 u + 156
1.8 u + 156 = 1056
1.8 u = 1056 - 156
1.8 u = 900
1 u = 900 ÷ 1.8 = 500
Amount collected from adult tickets on Thursday
= 1 u x 39
= 500 x 39
= $19500
Amount collected from child tickets on Thursday
= 11(1 u + 130)
= 11(500 + 130)
= 11 x 630
= $6930
Total amount collected on Thursday
= 19500 + 6930
= $26430
Answer(s):$26430