At a museum, each adult ticket cost $23 and each child ticket cost $5. 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 45% while the number of child tickets sold increased by 30%. If a total of 737 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 |
- 0.45 u |
+ 0.3 u + 42 |
|
After |
0.55 u |
1.3 u + 182 |
1.85 u + 182 |
45% x 1 u =
45100 x 1 u = 0.45 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
= 0.55 u + 1.3 u + 182
= 1.85 u + 182
1.85 u + 182 = 737
1.85 u = 737 - 182
1.85 u = 555
1 u = 555 ÷ 1.85 = 300
Amount collected from adult tickets on Monday
= 1 u x 23
= 300 x 23
= $6900
Amount collected from child tickets on Monday
= 5(1 u + 140)
= 5(300 + 140)
= 5 x 440
= $2200
Total amount collected on Monday
= 6900 + 2200
= $9100
Answer(s):$9100