At a safari park, each adult ticket cost $26 and each child ticket cost $13. On Tuesday, the number of adult tickets sold was 138 less than the number of child tickets. On Wednesday, the number of adult tickets sold decreased by 25% while the number of child tickets sold increased by 50%. If a total of 1107 tickets were sold on Wednesday, how much money was collected on Tuesday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 138 |
2 u + 138 |
Change |
- 0.25 u |
+ 0.5 u + 69 |
|
After |
0.75 u |
1.5 u + 207 |
2.25 u + 207 |
25% x 1 u =
25100 x 1 u = 0.25 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 138 =
50100 x 138 = 69
Number of tickets sold on Wednesday
= 0.75 u + 1.5 u + 207
= 2.25 u + 207
2.25 u + 207 = 1107
2.25 u = 1107 - 207
2.25 u = 900
1 u = 900 ÷ 2.25 = 400
Amount collected from adult tickets on Tuesday
= 1 u x 26
= 400 x 26
= $10400
Amount collected from child tickets on Tuesday
= 13(1 u + 138)
= 13(400 + 138)
= 13 x 538
= $6994
Total amount collected on Tuesday
= 10400 + 6994
= $17394
Answer(s):$17394