At a zoo, each adult ticket cost $26 and each child ticket cost $15. On Thursday, the number of adult tickets sold was 60 less than the number of child tickets. On Friday, the number of adult tickets sold decreased by 35% while the number of child tickets sold increased by 30%. If a total of 663 tickets were sold on Friday, how much money was collected on Thursday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 60 |
2 u + 60 |
Change |
- 0.35 u |
+ 0.3 u + 18 |
|
After |
0.65 u |
1.3 u + 78 |
1.95 u + 78 |
35% x 1 u =
35100 x 1 u = 0.35 u
30% x 1 u =
30100 x 1 u = 0.3 u
30% x 60 =
30100 x 60 = 18
Number of tickets sold on Friday
= 0.65 u + 1.3 u + 78
= 1.95 u + 78
1.95 u + 78 = 663
1.95 u = 663 - 78
1.95 u = 585
1 u = 585 ÷ 1.95 = 300
Amount collected from adult tickets on Thursday
= 1 u x 26
= 300 x 26
= $7800
Amount collected from child tickets on Thursday
= 15(1 u + 60)
= 15(300 + 60)
= 15 x 360
= $5400
Total amount collected on Thursday
= 7800 + 5400
= $13200
Answer(s):$13200