At a museum, each adult ticket cost $29 and each child ticket cost $15. 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 15% while the number of child tickets sold increased by 10%. If a total of 728 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 |
- 0.15 u |
+ 0.1 u + 13 |
|
After |
0.85 u |
1.1 u + 143 |
1.95 u + 143 |
15% x 1 u =
15100 x 1 u = 0.15 u
10% x 1 u =
10100 x 1 u = 0.1 u
10% x 130 =
10100 x 130 = 13
Number of tickets sold on Saturday
= 0.85 u + 1.1 u + 143
= 1.95 u + 143
1.95 u + 143 = 728
1.95 u = 728 - 143
1.95 u = 585
1 u = 585 ÷ 1.95 = 300
Amount collected from adult tickets on Friday
= 1 u x 29
= 300 x 29
= $8700
Amount collected from child tickets on Friday
= 15(1 u + 130)
= 15(300 + 130)
= 15 x 430
= $6450
Total amount collected on Friday
= 8700 + 6450
= $15150
Answer(s):$15150