At a theme park, each adult ticket cost $36 and each child ticket cost $7. On Monday, the number of adult tickets sold was 192 less than the number of child tickets. On Tuesday, the number of adult tickets sold decreased by 35% while the number of child tickets sold increased by 25%. If a total of 430 tickets were sold on Tuesday, how much money was collected on Monday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 192 |
2 u + 192 |
Change |
- 0.35 u |
+ 0.25 u + 48 |
|
After |
0.65 u |
1.25 u + 240 |
1.9 u + 240 |
35% x 1 u =
35100 x 1 u = 0.35 u
25% x 1 u =
25100 x 1 u = 0.25 u
25% x 192 =
25100 x 192 = 48
Number of tickets sold on Tuesday
= 0.65 u + 1.25 u + 240
= 1.9 u + 240
1.9 u + 240 = 430
1.9 u = 430 - 240
1.9 u = 190
1 u = 190 ÷ 1.9 = 100
Amount collected from adult tickets on Monday
= 1 u x 36
= 100 x 36
= $3600
Amount collected from child tickets on Monday
= 7(1 u + 192)
= 7(100 + 192)
= 7 x 292
= $2044
Total amount collected on Monday
= 3600 + 2044
= $5644
Answer(s):$5644