At a park, each adult ticket cost $27 and each child ticket cost $18. On Friday, the number of adult tickets sold was 130 less than the number of child tickets. On Saturday, the number of adult tickets sold decreased by 25% while the number of child tickets sold increased by 30%. If a total of 1194 tickets were sold on Saturday, how much money was collected on Friday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 130 |
2 u + 130 |
Change |
- 0.25 u |
+ 0.3 u + 39 |
|
After |
0.75 u |
1.3 u + 169 |
2.05 u + 169 |
25% x 1 u =
25100 x 1 u = 0.25 u
30% x 1 u =
30100 x 1 u = 0.3 u
30% x 130 =
30100 x 130 = 39
Number of tickets sold on Saturday
= 0.75 u + 1.3 u + 169
= 2.05 u + 169
2.05 u + 169 = 1194
2.05 u = 1194 - 169
2.05 u = 1025
1 u = 1025 ÷ 2.05 = 500
Amount collected from adult tickets on Friday
= 1 u x 27
= 500 x 27
= $13500
Amount collected from child tickets on Friday
= 18(1 u + 130)
= 18(500 + 130)
= 18 x 630
= $11340
Total amount collected on Friday
= 13500 + 11340
= $24840
Answer(s):$24840