At a park, each adult ticket cost $23 and each child ticket cost $15. On Thursday, the number of adult tickets sold was 154 less than the number of child tickets. On Friday, the number of adult tickets sold decreased by 5% while the number of child tickets sold increased by 50%. If a total of 2191 tickets were sold on Friday, how much money was collected on Thursday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 154 |
2 u + 154 |
Change |
- 0.05 u |
+ 0.5 u + 77 |
|
After |
0.95 u |
1.5 u + 231 |
2.45 u + 231 |
5% x 1 u =
5100 x 1 u = 0.05 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 154 =
50100 x 154 = 77
Number of tickets sold on Friday
= 0.95 u + 1.5 u + 231
= 2.45 u + 231
2.45 u + 231 = 2191
2.45 u = 2191 - 231
2.45 u = 1960
1 u = 1960 ÷ 2.45 = 800
Amount collected from adult tickets on Thursday
= 1 u x 23
= 800 x 23
= $18400
Amount collected from child tickets on Thursday
= 15(1 u + 154)
= 15(800 + 154)
= 15 x 954
= $14310
Total amount collected on Thursday
= 18400 + 14310
= $32710
Answer(s):$32710