At a museum, each adult ticket cost $33 and each child ticket cost $17. On Wednesday, the number of adult tickets sold was 190 less than the number of child tickets. On Thursday, the number of adult tickets sold decreased by 15% while the number of child tickets sold increased by 30%. If a total of 1752 tickets were sold on Thursday, how much money was collected on Wednesday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 190 |
2 u + 190 |
Change |
- 0.15 u |
+ 0.3 u + 57 |
|
After |
0.85 u |
1.3 u + 247 |
2.15 u + 247 |
15% x 1 u =
15100 x 1 u = 0.15 u
30% x 1 u =
30100 x 1 u = 0.3 u
30% x 190 =
30100 x 190 = 57
Number of tickets sold on Thursday
= 0.85 u + 1.3 u + 247
= 2.15 u + 247
2.15 u + 247 = 1752
2.15 u = 1752 - 247
2.15 u = 1505
1 u = 1505 ÷ 2.15 = 700
Amount collected from adult tickets on Wednesday
= 1 u x 33
= 700 x 33
= $23100
Amount collected from child tickets on Wednesday
= 17(1 u + 190)
= 17(700 + 190)
= 17 x 890
= $15130
Total amount collected on Wednesday
= 23100 + 15130
= $38230
Answer(s):$38230