At a zoo, each adult ticket cost $35 and each child ticket cost $14. On Monday, the number of adult tickets sold was 182 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 50%. If a total of 2298 tickets were sold on Tuesday, how much money was collected on Monday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 182 |
2 u + 182 |
Change |
- 0.25 u |
+ 0.5 u + 91 |
|
After |
0.75 u |
1.5 u + 273 |
2.25 u + 273 |
25% x 1 u =
25100 x 1 u = 0.25 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 182 =
50100 x 182 = 91
Number of tickets sold on Tuesday
= 0.75 u + 1.5 u + 273
= 2.25 u + 273
2.25 u + 273 = 2298
2.25 u = 2298 - 273
2.25 u = 2025
1 u = 2025 ÷ 2.25 = 900
Amount collected from adult tickets on Monday
= 1 u x 35
= 900 x 35
= $31500
Amount collected from child tickets on Monday
= 14(1 u + 182)
= 14(900 + 182)
= 14 x 1082
= $15148
Total amount collected on Monday
= 31500 + 15148
= $46648
Answer(s):$46648