At a museum, each adult ticket cost $29 and each child ticket cost $5. On Tuesday, the number of adult tickets sold was 60 less than the number of child tickets. On Wednesday, the number of adult tickets sold decreased by 15% while the number of child tickets sold increased by 35%. If a total of 961 tickets were sold on Wednesday, how much money was collected on Tuesday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 60 |
2 u + 60 |
Change |
- 0.15 u |
+ 0.35 u + 21 |
|
After |
0.85 u |
1.35 u + 81 |
2.2 u + 81 |
15% x 1 u =
15100 x 1 u = 0.15 u
35% x 1 u =
35100 x 1 u = 0.35 u
35% x 60 =
35100 x 60 = 21
Number of tickets sold on Wednesday
= 0.85 u + 1.35 u + 81
= 2.2 u + 81
2.2 u + 81 = 961
2.2 u = 961 - 81
2.2 u = 880
1 u = 880 ÷ 2.2 = 400
Amount collected from adult tickets on Tuesday
= 1 u x 29
= 400 x 29
= $11600
Amount collected from child tickets on Tuesday
= 5(1 u + 60)
= 5(400 + 60)
= 5 x 460
= $2300
Total amount collected on Tuesday
= 11600 + 2300
= $13900
Answer(s):$13900