At a zoo, each adult ticket cost $27 and each child ticket cost $16. On Friday, the number of adult tickets sold was 200 less than the number of child tickets. On Saturday, the number of adult tickets sold decreased by 45% while the number of child tickets sold increased by 20%. If a total of 590 tickets were sold on Saturday, how much money was collected on Friday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 200 |
2 u + 200 |
Change |
- 0.45 u |
+ 0.2 u + 40 |
|
After |
0.55 u |
1.2 u + 240 |
1.75 u + 240 |
45% x 1 u =
45100 x 1 u = 0.45 u
20% x 1 u =
20100 x 1 u = 0.2 u
20% x 200 =
20100 x 200 = 40
Number of tickets sold on Saturday
= 0.55 u + 1.2 u + 240
= 1.75 u + 240
1.75 u + 240 = 590
1.75 u = 590 - 240
1.75 u = 350
1 u = 350 ÷ 1.75 = 200
Amount collected from adult tickets on Friday
= 1 u x 27
= 200 x 27
= $5400
Amount collected from child tickets on Friday
= 16(1 u + 200)
= 16(200 + 200)
= 16 x 400
= $6400
Total amount collected on Friday
= 5400 + 6400
= $11800
Answer(s):$11800