At a museum, each adult ticket cost $38 and each child ticket cost $9. On Friday, the number of adult tickets sold was 160 less than the number of child tickets. On Saturday, the number of adult tickets sold decreased by 30% while the number of child tickets sold increased by 35%. If a total of 1241 tickets were sold on Saturday, how much money was collected on Friday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 160 |
2 u + 160 |
Change |
- 0.3 u |
+ 0.35 u + 56 |
|
After |
0.7 u |
1.35 u + 216 |
2.05 u + 216 |
30% x 1 u =
30100 x 1 u = 0.3 u
35% x 1 u =
35100 x 1 u = 0.35 u
35% x 160 =
35100 x 160 = 56
Number of tickets sold on Saturday
= 0.7 u + 1.35 u + 216
= 2.05 u + 216
2.05 u + 216 = 1241
2.05 u = 1241 - 216
2.05 u = 1025
1 u = 1025 ÷ 2.05 = 500
Amount collected from adult tickets on Friday
= 1 u x 38
= 500 x 38
= $19000
Amount collected from child tickets on Friday
= 9(1 u + 160)
= 9(500 + 160)
= 9 x 660
= $5940
Total amount collected on Friday
= 19000 + 5940
= $24940
Answer(s):$24940