At a safari park, each adult ticket cost $40 and each child ticket cost $10. On Thursday, the number of adult tickets sold was 200 less than the number of child tickets. On Friday, the number of adult tickets sold decreased by 40% while the number of child tickets sold increased by 50%. If a total of 930 tickets were sold on Friday, how much money was collected on Thursday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 200 |
2 u + 200 |
Change |
- 0.4 u |
+ 0.5 u + 100 |
|
After |
0.6 u |
1.5 u + 300 |
2.1 u + 300 |
40% x 1 u =
40100 x 1 u = 0.4 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 200 =
50100 x 200 = 100
Number of tickets sold on Friday
= 0.6 u + 1.5 u + 300
= 2.1 u + 300
2.1 u + 300 = 930
2.1 u = 930 - 300
2.1 u = 630
1 u = 630 ÷ 2.1 = 300
Amount collected from adult tickets on Thursday
= 1 u x 40
= 300 x 40
= $12000
Amount collected from child tickets on Thursday
= 10(1 u + 200)
= 10(300 + 200)
= 10 x 500
= $5000
Total amount collected on Thursday
= 12000 + 5000
= $17000
Answer(s):$17000