At a safari park, each adult ticket cost $32 and each child ticket cost $10. On Wednesday, the number of adult tickets sold was 126 less than the number of child tickets. On Thursday, the number of adult tickets sold decreased by 45% while the number of child tickets sold increased by 50%. If a total of 1214 tickets were sold on Thursday, how much money was collected on Wednesday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 126 |
2 u + 126 |
Change |
- 0.45 u |
+ 0.5 u + 63 |
|
After |
0.55 u |
1.5 u + 189 |
2.05 u + 189 |
45% x 1 u =
45100 x 1 u = 0.45 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 126 =
50100 x 126 = 63
Number of tickets sold on Thursday
= 0.55 u + 1.5 u + 189
= 2.05 u + 189
2.05 u + 189 = 1214
2.05 u = 1214 - 189
2.05 u = 1025
1 u = 1025 ÷ 2.05 = 500
Amount collected from adult tickets on Wednesday
= 1 u x 32
= 500 x 32
= $16000
Amount collected from child tickets on Wednesday
= 10(1 u + 126)
= 10(500 + 126)
= 10 x 626
= $6260
Total amount collected on Wednesday
= 16000 + 6260
= $22260
Answer(s):$22260