At a bird park, each adult ticket cost $38 and each child ticket cost $8. On Monday, the number of adult tickets sold was 105 less than the number of child tickets. On Tuesday, the number of adult tickets sold decreased by 50% while the number of child tickets sold increased by 40%. If a total of 337 tickets were sold on Tuesday, how much money was collected on Monday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 105 |
2 u + 105 |
Change |
- 0.5 u |
+ 0.4 u + 42 |
|
After |
0.5 u |
1.4 u + 147 |
1.9 u + 147 |
50% x 1 u =
50100 x 1 u = 0.5 u
40% x 1 u =
40100 x 1 u = 0.4 u
40% x 105 =
40100 x 105 = 42
Number of tickets sold on Tuesday
= 0.5 u + 1.4 u + 147
= 1.9 u + 147
1.9 u + 147 = 337
1.9 u = 337 - 147
1.9 u = 190
1 u = 190 ÷ 1.9 = 100
Amount collected from adult tickets on Monday
= 1 u x 38
= 100 x 38
= $3800
Amount collected from child tickets on Monday
= 8(1 u + 105)
= 8(100 + 105)
= 8 x 205
= $1640
Total amount collected on Monday
= 3800 + 1640
= $5440
Answer(s):$5440