At a concert hall, each adult ticket cost $26 and each child ticket cost $17. On Monday, the number of adult tickets sold was 120 less than the number of child tickets. On Tuesday, the number of adult tickets sold decreased by 30% while the number of child tickets sold increased by 25%. If a total of 345 tickets were sold on Tuesday, how much money was collected on Monday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 120 |
2 u + 120 |
Change |
- 0.3 u |
+ 0.25 u + 30 |
|
After |
0.7 u |
1.25 u + 150 |
1.95 u + 150 |
30% x 1 u =
30100 x 1 u = 0.3 u
25% x 1 u =
25100 x 1 u = 0.25 u
25% x 120 =
25100 x 120 = 30
Number of tickets sold on Tuesday
= 0.7 u + 1.25 u + 150
= 1.95 u + 150
1.95 u + 150 = 345
1.95 u = 345 - 150
1.95 u = 195
1 u = 195 ÷ 1.95 = 100
Amount collected from adult tickets on Monday
= 1 u x 26
= 100 x 26
= $2600
Amount collected from child tickets on Monday
= 17(1 u + 120)
= 17(100 + 120)
= 17 x 220
= $3740
Total amount collected on Monday
= 2600 + 3740
= $6340
Answer(s):$6340