At a tourist attraction, each adult ticket cost $29 and each child ticket cost $11. On Thursday, the number of adult tickets sold was 140 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 40%. If a total of 1516 tickets were sold on Friday, how much money was collected on Thursday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 140 |
2 u + 140 |
Change |
- 0.2 u |
+ 0.4 u + 56 |
|
After |
0.8 u |
1.4 u + 196 |
2.2 u + 196 |
20% x 1 u =
20100 x 1 u = 0.2 u
40% x 1 u =
40100 x 1 u = 0.4 u
40% x 140 =
40100 x 140 = 56
Number of tickets sold on Friday
= 0.8 u + 1.4 u + 196
= 2.2 u + 196
2.2 u + 196 = 1516
2.2 u = 1516 - 196
2.2 u = 1320
1 u = 1320 ÷ 2.2 = 600
Amount collected from adult tickets on Thursday
= 1 u x 29
= 600 x 29
= $17400
Amount collected from child tickets on Thursday
= 11(1 u + 140)
= 11(600 + 140)
= 11 x 740
= $8140
Total amount collected on Thursday
= 17400 + 8140
= $25540
Answer(s):$25540