At a safari park, each adult ticket cost $38 and each child ticket cost $16. On Wednesday, the number of adult tickets sold was 165 less than the number of child tickets. On Thursday, the number of adult tickets sold decreased by 5% while the number of child tickets sold increased by 40%. If a total of 1876 tickets were sold on Thursday, how much money was collected on Wednesday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 165 |
2 u + 165 |
Change |
- 0.05 u |
+ 0.4 u + 66 |
|
After |
0.95 u |
1.4 u + 231 |
2.35 u + 231 |
5% x 1 u =
5100 x 1 u = 0.05 u
40% x 1 u =
40100 x 1 u = 0.4 u
40% x 165 =
40100 x 165 = 66
Number of tickets sold on Thursday
= 0.95 u + 1.4 u + 231
= 2.35 u + 231
2.35 u + 231 = 1876
2.35 u = 1876 - 231
2.35 u = 1645
1 u = 1645 ÷ 2.35 = 700
Amount collected from adult tickets on Wednesday
= 1 u x 38
= 700 x 38
= $26600
Amount collected from child tickets on Wednesday
= 16(1 u + 165)
= 16(700 + 165)
= 16 x 865
= $13840
Total amount collected on Wednesday
= 26600 + 13840
= $40440
Answer(s):$40440