At a safari park, each adult ticket cost $27 and each child ticket cost $11. On Friday, the number of adult tickets sold was 72 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 50%. If a total of 1543 tickets were sold on Saturday, how much money was collected on Friday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 72 |
2 u + 72 |
Change |
- 0.45 u |
+ 0.5 u + 36 |
|
After |
0.55 u |
1.5 u + 108 |
2.05 u + 108 |
45% x 1 u =
45100 x 1 u = 0.45 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 72 =
50100 x 72 = 36
Number of tickets sold on Saturday
= 0.55 u + 1.5 u + 108
= 2.05 u + 108
2.05 u + 108 = 1543
2.05 u = 1543 - 108
2.05 u = 1435
1 u = 1435 ÷ 2.05 = 700
Amount collected from adult tickets on Friday
= 1 u x 27
= 700 x 27
= $18900
Amount collected from child tickets on Friday
= 11(1 u + 72)
= 11(700 + 72)
= 11 x 772
= $8492
Total amount collected on Friday
= 18900 + 8492
= $27392
Answer(s):$27392