At a theme park, each adult ticket cost $28 and each child ticket cost $11. On Friday, the number of adult tickets sold was 120 less than the number of child tickets. On Saturday, the number of adult tickets sold decreased by 15% while the number of child tickets sold increased by 40%. If a total of 1743 tickets were sold on Saturday, how much money was collected on Friday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 120 |
2 u + 120 |
Change |
- 0.15 u |
+ 0.4 u + 48 |
|
After |
0.85 u |
1.4 u + 168 |
2.25 u + 168 |
15% x 1 u =
15100 x 1 u = 0.15 u
40% x 1 u =
40100 x 1 u = 0.4 u
40% x 120 =
40100 x 120 = 48
Number of tickets sold on Saturday
= 0.85 u + 1.4 u + 168
= 2.25 u + 168
2.25 u + 168 = 1743
2.25 u = 1743 - 168
2.25 u = 1575
1 u = 1575 ÷ 2.25 = 700
Amount collected from adult tickets on Friday
= 1 u x 28
= 700 x 28
= $19600
Amount collected from child tickets on Friday
= 11(1 u + 120)
= 11(700 + 120)
= 11 x 820
= $9020
Total amount collected on Friday
= 19600 + 9020
= $28620
Answer(s):$28620