At a museum, each adult ticket cost $29 and each child ticket cost $5. On Friday, the number of adult tickets sold was 120 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 45%. If a total of 604 tickets were sold on Saturday, how much money was collected on Friday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 120 |
2 u + 120 |
Change |
- 0.3 u |
+ 0.45 u + 54 |
|
After |
0.7 u |
1.45 u + 174 |
2.15 u + 174 |
30% x 1 u =
30100 x 1 u = 0.3 u
45% x 1 u =
45100 x 1 u = 0.45 u
45% x 120 =
45100 x 120 = 54
Number of tickets sold on Saturday
= 0.7 u + 1.45 u + 174
= 2.15 u + 174
2.15 u + 174 = 604
2.15 u = 604 - 174
2.15 u = 430
1 u = 430 ÷ 2.15 = 200
Amount collected from adult tickets on Friday
= 1 u x 29
= 200 x 29
= $5800
Amount collected from child tickets on Friday
= 5(1 u + 120)
= 5(200 + 120)
= 5 x 320
= $1600
Total amount collected on Friday
= 5800 + 1600
= $7400
Answer(s):$7400