At a theme park, each adult ticket cost $29 and each child ticket cost $8. On Friday, the number of adult tickets sold was 152 less than the number of child tickets. On Saturday, the number of adult tickets sold decreased by 15% while the number of child tickets sold increased by 50%. If a total of 1873 tickets were sold on Saturday, how much money was collected on Friday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 152 |
2 u + 152 |
Change |
- 0.15 u |
+ 0.5 u + 76 |
|
After |
0.85 u |
1.5 u + 228 |
2.35 u + 228 |
15% x 1 u =
15100 x 1 u = 0.15 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 152 =
50100 x 152 = 76
Number of tickets sold on Saturday
= 0.85 u + 1.5 u + 228
= 2.35 u + 228
2.35 u + 228 = 1873
2.35 u = 1873 - 228
2.35 u = 1645
1 u = 1645 ÷ 2.35 = 700
Amount collected from adult tickets on Friday
= 1 u x 29
= 700 x 29
= $20300
Amount collected from child tickets on Friday
= 8(1 u + 152)
= 8(700 + 152)
= 8 x 852
= $6816
Total amount collected on Friday
= 20300 + 6816
= $27116
Answer(s):$27116