At a theme park, each adult ticket cost $24 and each child ticket cost $16. 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 50% while the number of child tickets sold increased by 15%. If a total of 1481 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 |
- 0.5 u |
+ 0.15 u + 21 |
|
After |
0.5 u |
1.15 u + 161 |
1.65 u + 161 |
50% x 1 u =
50100 x 1 u = 0.5 u
15% x 1 u =
15100 x 1 u = 0.15 u
15% x 140 =
15100 x 140 = 21
Number of tickets sold on Friday
= 0.5 u + 1.15 u + 161
= 1.65 u + 161
1.65 u + 161 = 1481
1.65 u = 1481 - 161
1.65 u = 1320
1 u = 1320 ÷ 1.65 = 800
Amount collected from adult tickets on Thursday
= 1 u x 24
= 800 x 24
= $19200
Amount collected from child tickets on Thursday
= 16(1 u + 140)
= 16(800 + 140)
= 16 x 940
= $15040
Total amount collected on Thursday
= 19200 + 15040
= $34240
Answer(s):$34240