At a theme park, each adult ticket cost $40 and each child ticket cost $15. On Thursday, the number of adult tickets sold was 160 less than the number of child tickets. On Friday, the number of adult tickets sold decreased by 30% while the number of child tickets sold increased by 10%. If a total of 1256 tickets were sold on Friday, how much money was collected on Thursday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 160 |
2 u + 160 |
Change |
- 0.3 u |
+ 0.1 u + 16 |
|
After |
0.7 u |
1.1 u + 176 |
1.8 u + 176 |
30% x 1 u =
30100 x 1 u = 0.3 u
10% x 1 u =
10100 x 1 u = 0.1 u
10% x 160 =
10100 x 160 = 16
Number of tickets sold on Friday
= 0.7 u + 1.1 u + 176
= 1.8 u + 176
1.8 u + 176 = 1256
1.8 u = 1256 - 176
1.8 u = 1080
1 u = 1080 ÷ 1.8 = 600
Amount collected from adult tickets on Thursday
= 1 u x 40
= 600 x 40
= $24000
Amount collected from child tickets on Thursday
= 15(1 u + 160)
= 15(600 + 160)
= 15 x 760
= $11400
Total amount collected on Thursday
= 24000 + 11400
= $35400
Answer(s):$35400