At a safari park, each adult ticket cost $21 and each child ticket cost $5. On Wednesday, the number of adult tickets sold was 58 less than the number of child tickets. On Thursday, the number of adult tickets sold decreased by 35% while the number of child tickets sold increased by 50%. If a total of 947 tickets were sold on Thursday, how much money was collected on Wednesday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 58 |
2 u + 58 |
Change |
- 0.35 u |
+ 0.5 u + 29 |
|
After |
0.65 u |
1.5 u + 87 |
2.15 u + 87 |
35% x 1 u =
35100 x 1 u = 0.35 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 58 =
50100 x 58 = 29
Number of tickets sold on Thursday
= 0.65 u + 1.5 u + 87
= 2.15 u + 87
2.15 u + 87 = 947
2.15 u = 947 - 87
2.15 u = 860
1 u = 860 ÷ 2.15 = 400
Amount collected from adult tickets on Wednesday
= 1 u x 21
= 400 x 21
= $8400
Amount collected from child tickets on Wednesday
= 5(1 u + 58)
= 5(400 + 58)
= 5 x 458
= $2290
Total amount collected on Wednesday
= 8400 + 2290
= $10690
Answer(s):$10690