At a stadium, each adult ticket cost $24 and each child ticket cost $8. On Monday, the number of adult tickets sold was 128 less than the number of child tickets. On Tuesday, the number of adult tickets sold decreased by 5% while the number of child tickets sold increased by 25%. If a total of 2140 tickets were sold on Tuesday, how much money was collected on Monday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 128 |
2 u + 128 |
Change |
- 0.05 u |
+ 0.25 u + 32 |
|
After |
0.95 u |
1.25 u + 160 |
2.2 u + 160 |
5% x 1 u =
5100 x 1 u = 0.05 u
25% x 1 u =
25100 x 1 u = 0.25 u
25% x 128 =
25100 x 128 = 32
Number of tickets sold on Tuesday
= 0.95 u + 1.25 u + 160
= 2.2 u + 160
2.2 u + 160 = 2140
2.2 u = 2140 - 160
2.2 u = 1980
1 u = 1980 ÷ 2.2 = 900
Amount collected from adult tickets on Monday
= 1 u x 24
= 900 x 24
= $21600
Amount collected from child tickets on Monday
= 8(1 u + 128)
= 8(900 + 128)
= 8 x 1028
= $8224
Total amount collected on Monday
= 21600 + 8224
= $29824
Answer(s):$29824