At a zoo, each adult ticket cost $30 and each child ticket cost $6. On Friday, the number of adult tickets sold was 152 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 50%. If a total of 453 tickets were sold on Saturday, how much money was collected on Friday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 152 |
2 u + 152 |
Change |
- 0.25 u |
+ 0.5 u + 76 |
|
After |
0.75 u |
1.5 u + 228 |
2.25 u + 228 |
25% x 1 u =
25100 x 1 u = 0.25 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 152 =
50100 x 152 = 76
Number of tickets sold on Saturday
= 0.75 u + 1.5 u + 228
= 2.25 u + 228
2.25 u + 228 = 453
2.25 u = 453 - 228
2.25 u = 225
1 u = 225 ÷ 2.25 = 100
Amount collected from adult tickets on Friday
= 1 u x 30
= 100 x 30
= $3000
Amount collected from child tickets on Friday
= 6(1 u + 152)
= 6(100 + 152)
= 6 x 252
= $1512
Total amount collected on Friday
= 3000 + 1512
= $4512
Answer(s):$4512