At a museum, each adult ticket cost $24 and each child ticket cost $11. On Monday, the number of adult tickets sold was 145 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 20%. If a total of 1404 tickets were sold on Tuesday, how much money was collected on Monday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 145 |
2 u + 145 |
Change |
- 0.15 u |
+ 0.2 u + 29 |
|
After |
0.85 u |
1.2 u + 174 |
2.05 u + 174 |
15% x 1 u =
15100 x 1 u = 0.15 u
20% x 1 u =
20100 x 1 u = 0.2 u
20% x 145 =
20100 x 145 = 29
Number of tickets sold on Tuesday
= 0.85 u + 1.2 u + 174
= 2.05 u + 174
2.05 u + 174 = 1404
2.05 u = 1404 - 174
2.05 u = 1230
1 u = 1230 ÷ 2.05 = 600
Amount collected from adult tickets on Monday
= 1 u x 24
= 600 x 24
= $14400
Amount collected from child tickets on Monday
= 11(1 u + 145)
= 11(600 + 145)
= 11 x 745
= $8195
Total amount collected on Monday
= 14400 + 8195
= $22595
Answer(s):$22595