At a tourist attraction, each adult ticket cost $38 and each child ticket cost $16. On Saturday, the number of adult tickets sold was 94 less than the number of child tickets. On Sunday, the number of adult tickets sold decreased by 45% while the number of child tickets sold increased by 50%. If a total of 346 tickets were sold on Sunday, how much money was collected on Saturday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 94 |
2 u + 94 |
Change |
- 0.45 u |
+ 0.5 u + 47 |
|
After |
0.55 u |
1.5 u + 141 |
2.05 u + 141 |
45% x 1 u =
45100 x 1 u = 0.45 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 94 =
50100 x 94 = 47
Number of tickets sold on Sunday
= 0.55 u + 1.5 u + 141
= 2.05 u + 141
2.05 u + 141 = 346
2.05 u = 346 - 141
2.05 u = 205
1 u = 205 ÷ 2.05 = 100
Amount collected from adult tickets on Saturday
= 1 u x 38
= 100 x 38
= $3800
Amount collected from child tickets on Saturday
= 16(1 u + 94)
= 16(100 + 94)
= 16 x 194
= $3104
Total amount collected on Saturday
= 3800 + 3104
= $6904
Answer(s):$6904