At a museum, each adult ticket cost $23 and each child ticket cost $13. On Monday, the number of adult tickets sold was 180 less than the number of child tickets. On Tuesday, the number of adult tickets sold decreased by 15% while the number of child tickets sold increased by 10%. If a total of 1563 tickets were sold on Tuesday, how much money was collected on Monday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 180 |
2 u + 180 |
Change |
- 0.15 u |
+ 0.1 u + 18 |
|
After |
0.85 u |
1.1 u + 198 |
1.95 u + 198 |
15% x 1 u =
15100 x 1 u = 0.15 u
10% x 1 u =
10100 x 1 u = 0.1 u
10% x 180 =
10100 x 180 = 18
Number of tickets sold on Tuesday
= 0.85 u + 1.1 u + 198
= 1.95 u + 198
1.95 u + 198 = 1563
1.95 u = 1563 - 198
1.95 u = 1365
1 u = 1365 ÷ 1.95 = 700
Amount collected from adult tickets on Monday
= 1 u x 23
= 700 x 23
= $16100
Amount collected from child tickets on Monday
= 13(1 u + 180)
= 13(700 + 180)
= 13 x 880
= $11440
Total amount collected on Monday
= 16100 + 11440
= $27540
Answer(s):$27540