At a tourist attraction, each adult ticket cost $23 and each child ticket cost $13. On Monday, the number of adult tickets sold was 180 less than the number of child tickets. On Tuesday, the number of adult tickets sold decreased by 25% while the number of child tickets sold increased by 20%. If a total of 411 tickets were sold on Tuesday, how much money was collected on Monday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 180 |
2 u + 180 |
Change |
- 0.25 u |
+ 0.2 u + 36 |
|
After |
0.75 u |
1.2 u + 216 |
1.95 u + 216 |
25% x 1 u =
25100 x 1 u = 0.25 u
20% x 1 u =
20100 x 1 u = 0.2 u
20% x 180 =
20100 x 180 = 36
Number of tickets sold on Tuesday
= 0.75 u + 1.2 u + 216
= 1.95 u + 216
1.95 u + 216 = 411
1.95 u = 411 - 216
1.95 u = 195
1 u = 195 ÷ 1.95 = 100
Amount collected from adult tickets on Monday
= 1 u x 23
= 100 x 23
= $2300
Amount collected from child tickets on Monday
= 13(1 u + 180)
= 13(100 + 180)
= 13 x 280
= $3640
Total amount collected on Monday
= 2300 + 3640
= $5940
Answer(s):$5940