At a tourist attraction, each adult ticket cost $28 and each child ticket cost $7. On Wednesday, the number of adult tickets sold was 100 less than the number of child tickets. On Thursday, the number of adult tickets sold decreased by 20% while the number of child tickets sold increased by 45%. If a total of 1720 tickets were sold on Thursday, how much money was collected on Wednesday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 100 |
2 u + 100 |
Change |
- 0.2 u |
+ 0.45 u + 45 |
|
After |
0.8 u |
1.45 u + 145 |
2.25 u + 145 |
20% x 1 u =
20100 x 1 u = 0.2 u
45% x 1 u =
45100 x 1 u = 0.45 u
45% x 100 =
45100 x 100 = 45
Number of tickets sold on Thursday
= 0.8 u + 1.45 u + 145
= 2.25 u + 145
2.25 u + 145 = 1720
2.25 u = 1720 - 145
2.25 u = 1575
1 u = 1575 ÷ 2.25 = 700
Amount collected from adult tickets on Wednesday
= 1 u x 28
= 700 x 28
= $19600
Amount collected from child tickets on Wednesday
= 7(1 u + 100)
= 7(700 + 100)
= 7 x 800
= $5600
Total amount collected on Wednesday
= 19600 + 5600
= $25200
Answer(s):$25200