At a tourist attraction, each adult ticket cost $22 and each child ticket cost $14. On Tuesday, the number of adult tickets sold was 120 less than the number of child tickets. On Wednesday, the number of adult tickets sold decreased by 50% while the number of child tickets sold increased by 35%. If a total of 902 tickets were sold on Wednesday, how much money was collected on Tuesday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 120 |
2 u + 120 |
Change |
- 0.5 u |
+ 0.35 u + 42 |
|
After |
0.5 u |
1.35 u + 162 |
1.85 u + 162 |
50% x 1 u =
50100 x 1 u = 0.5 u
35% x 1 u =
35100 x 1 u = 0.35 u
35% x 120 =
35100 x 120 = 42
Number of tickets sold on Wednesday
= 0.5 u + 1.35 u + 162
= 1.85 u + 162
1.85 u + 162 = 902
1.85 u = 902 - 162
1.85 u = 740
1 u = 740 ÷ 1.85 = 400
Amount collected from adult tickets on Tuesday
= 1 u x 22
= 400 x 22
= $8800
Amount collected from child tickets on Tuesday
= 14(1 u + 120)
= 14(400 + 120)
= 14 x 520
= $7280
Total amount collected on Tuesday
= 8800 + 7280
= $16080
Answer(s):$16080