At a tourist attraction, each adult ticket cost $39 and each child ticket cost $17. On Monday, the number of adult tickets sold was 118 less than the number of child tickets. On Tuesday, the number of adult tickets sold decreased by 45% while the number of child tickets sold increased by 50%. If a total of 1817 tickets were sold on Tuesday, how much money was collected on Monday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 118 |
2 u + 118 |
Change |
- 0.45 u |
+ 0.5 u + 59 |
|
After |
0.55 u |
1.5 u + 177 |
2.05 u + 177 |
45% x 1 u =
45100 x 1 u = 0.45 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 118 =
50100 x 118 = 59
Number of tickets sold on Tuesday
= 0.55 u + 1.5 u + 177
= 2.05 u + 177
2.05 u + 177 = 1817
2.05 u = 1817 - 177
2.05 u = 1640
1 u = 1640 ÷ 2.05 = 800
Amount collected from adult tickets on Monday
= 1 u x 39
= 800 x 39
= $31200
Amount collected from child tickets on Monday
= 17(1 u + 118)
= 17(800 + 118)
= 17 x 918
= $15606
Total amount collected on Monday
= 31200 + 15606
= $46806
Answer(s):$46806