At a zoo, each adult ticket cost $26 and each child ticket cost $9. On Monday, the number of adult tickets sold was 200 less than the number of child tickets. On Tuesday, the number of adult tickets sold decreased by 20% while the number of child tickets sold increased by 5%. If a total of 580 tickets were sold on Tuesday, how much money was collected on Monday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 200 |
2 u + 200 |
Change |
- 0.2 u |
+ 0.05 u + 10 |
|
After |
0.8 u |
1.05 u + 210 |
1.85 u + 210 |
20% x 1 u =
20100 x 1 u = 0.2 u
5% x 1 u =
5100 x 1 u = 0.05 u
5% x 200 =
5100 x 200 = 10
Number of tickets sold on Tuesday
= 0.8 u + 1.05 u + 210
= 1.85 u + 210
1.85 u + 210 = 580
1.85 u = 580 - 210
1.85 u = 370
1 u = 370 ÷ 1.85 = 200
Amount collected from adult tickets on Monday
= 1 u x 26
= 200 x 26
= $5200
Amount collected from child tickets on Monday
= 9(1 u + 200)
= 9(200 + 200)
= 9 x 400
= $3600
Total amount collected on Monday
= 5200 + 3600
= $8800
Answer(s):$8800