At a museum, each adult ticket cost $22 and each child ticket cost $12. On Monday, the number of adult tickets sold was 130 less than the number of child tickets. On Tuesday, the number of adult tickets sold decreased by 35% while the number of child tickets sold increased by 30%. If a total of 1144 tickets were sold on Tuesday, how much money was collected on Monday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 130 |
2 u + 130 |
Change |
- 0.35 u |
+ 0.3 u + 39 |
|
After |
0.65 u |
1.3 u + 169 |
1.95 u + 169 |
35% x 1 u =
35100 x 1 u = 0.35 u
30% x 1 u =
30100 x 1 u = 0.3 u
30% x 130 =
30100 x 130 = 39
Number of tickets sold on Tuesday
= 0.65 u + 1.3 u + 169
= 1.95 u + 169
1.95 u + 169 = 1144
1.95 u = 1144 - 169
1.95 u = 975
1 u = 975 ÷ 1.95 = 500
Amount collected from adult tickets on Monday
= 1 u x 22
= 500 x 22
= $11000
Amount collected from child tickets on Monday
= 12(1 u + 130)
= 12(500 + 130)
= 12 x 630
= $7560
Total amount collected on Monday
= 11000 + 7560
= $18560
Answer(s):$18560