At a park, each adult ticket cost $37 and each child ticket cost $16. On Monday, the number of adult tickets sold was 80 less than the number of child tickets. On Tuesday, the number of adult tickets sold decreased by 25% while the number of child tickets sold increased by 45%. If a total of 1656 tickets were sold on Tuesday, how much money was collected on Monday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 80 |
2 u + 80 |
Change |
- 0.25 u |
+ 0.45 u + 36 |
|
After |
0.75 u |
1.45 u + 116 |
2.2 u + 116 |
25% x 1 u =
25100 x 1 u = 0.25 u
45% x 1 u =
45100 x 1 u = 0.45 u
45% x 80 =
45100 x 80 = 36
Number of tickets sold on Tuesday
= 0.75 u + 1.45 u + 116
= 2.2 u + 116
2.2 u + 116 = 1656
2.2 u = 1656 - 116
2.2 u = 1540
1 u = 1540 ÷ 2.2 = 700
Amount collected from adult tickets on Monday
= 1 u x 37
= 700 x 37
= $25900
Amount collected from child tickets on Monday
= 16(1 u + 80)
= 16(700 + 80)
= 16 x 780
= $12480
Total amount collected on Monday
= 25900 + 12480
= $38380
Answer(s):$38380