At a tourist attraction, each adult ticket cost $32 and each child ticket cost $13. On Monday, the number of adult tickets sold was 140 less than the number of child tickets. On Tuesday, the number of adult tickets sold decreased by 5% while the number of child tickets sold increased by 30%. If a total of 407 tickets were sold on Tuesday, how much money was collected on Monday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 140 |
2 u + 140 |
Change |
- 0.05 u |
+ 0.3 u + 42 |
|
After |
0.95 u |
1.3 u + 182 |
2.25 u + 182 |
5% x 1 u =
5100 x 1 u = 0.05 u
30% x 1 u =
30100 x 1 u = 0.3 u
30% x 140 =
30100 x 140 = 42
Number of tickets sold on Tuesday
= 0.95 u + 1.3 u + 182
= 2.25 u + 182
2.25 u + 182 = 407
2.25 u = 407 - 182
2.25 u = 225
1 u = 225 ÷ 2.25 = 100
Amount collected from adult tickets on Monday
= 1 u x 32
= 100 x 32
= $3200
Amount collected from child tickets on Monday
= 13(1 u + 140)
= 13(100 + 140)
= 13 x 240
= $3120
Total amount collected on Monday
= 3200 + 3120
= $6320
Answer(s):$6320