At a zoo, each adult ticket cost $26 and each child ticket cost $14. On Friday, the number of adult tickets sold was 90 less than the number of child tickets. On Saturday, the number of adult tickets sold decreased by 10% while the number of child tickets sold increased by 20%. If a total of 1998 tickets were sold on Saturday, how much money was collected on Friday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 90 |
2 u + 90 |
Change |
- 0.1 u |
+ 0.2 u + 18 |
|
After |
0.9 u |
1.2 u + 108 |
2.1 u + 108 |
10% x 1 u =
10100 x 1 u = 0.1 u
20% x 1 u =
20100 x 1 u = 0.2 u
20% x 90 =
20100 x 90 = 18
Number of tickets sold on Saturday
= 0.9 u + 1.2 u + 108
= 2.1 u + 108
2.1 u + 108 = 1998
2.1 u = 1998 - 108
2.1 u = 1890
1 u = 1890 ÷ 2.1 = 900
Amount collected from adult tickets on Friday
= 1 u x 26
= 900 x 26
= $23400
Amount collected from child tickets on Friday
= 14(1 u + 90)
= 14(900 + 90)
= 14 x 990
= $13860
Total amount collected on Friday
= 23400 + 13860
= $37260
Answer(s):$37260