At a stadium, each adult ticket cost $23 and each child ticket cost $7. On Friday, the number of adult tickets sold was 158 less than the number of child tickets. On Saturday, the number of adult tickets sold decreased by 10% while the number of child tickets sold increased by 50%. If a total of 1917 tickets were sold on Saturday, how much money was collected on Friday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 158 |
2 u + 158 |
Change |
- 0.1 u |
+ 0.5 u + 79 |
|
After |
0.9 u |
1.5 u + 237 |
2.4 u + 237 |
10% x 1 u =
10100 x 1 u = 0.1 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 158 =
50100 x 158 = 79
Number of tickets sold on Saturday
= 0.9 u + 1.5 u + 237
= 2.4 u + 237
2.4 u + 237 = 1917
2.4 u = 1917 - 237
2.4 u = 1680
1 u = 1680 ÷ 2.4 = 700
Amount collected from adult tickets on Friday
= 1 u x 23
= 700 x 23
= $16100
Amount collected from child tickets on Friday
= 7(1 u + 158)
= 7(700 + 158)
= 7 x 858
= $6006
Total amount collected on Friday
= 16100 + 6006
= $22106
Answer(s):$22106