At a stadium, each adult ticket cost $39 and each child ticket cost $6. On Monday, the number of adult tickets sold was 108 less than the number of child tickets. On Tuesday, the number of adult tickets sold decreased by 10% while the number of child tickets sold increased by 50%. If a total of 2322 tickets were sold on Tuesday, how much money was collected on Monday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 108 |
2 u + 108 |
Change |
- 0.1 u |
+ 0.5 u + 54 |
|
After |
0.9 u |
1.5 u + 162 |
2.4 u + 162 |
10% x 1 u =
10100 x 1 u = 0.1 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 108 =
50100 x 108 = 54
Number of tickets sold on Tuesday
= 0.9 u + 1.5 u + 162
= 2.4 u + 162
2.4 u + 162 = 2322
2.4 u = 2322 - 162
2.4 u = 2160
1 u = 2160 ÷ 2.4 = 900
Amount collected from adult tickets on Monday
= 1 u x 39
= 900 x 39
= $35100
Amount collected from child tickets on Monday
= 6(1 u + 108)
= 6(900 + 108)
= 6 x 1008
= $6048
Total amount collected on Monday
= 35100 + 6048
= $41148
Answer(s):$41148