At a tourist attraction, each adult ticket cost $37 and each child ticket cost $18. On Tuesday, the number of adult tickets sold was 125 less than the number of child tickets. On Wednesday, the number of adult tickets sold decreased by 5% while the number of child tickets sold increased by 40%. If a total of 880 tickets were sold on Wednesday, how much money was collected on Tuesday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 125 |
2 u + 125 |
Change |
- 0.05 u |
+ 0.4 u + 50 |
|
After |
0.95 u |
1.4 u + 175 |
2.35 u + 175 |
5% x 1 u =
5100 x 1 u = 0.05 u
40% x 1 u =
40100 x 1 u = 0.4 u
40% x 125 =
40100 x 125 = 50
Number of tickets sold on Wednesday
= 0.95 u + 1.4 u + 175
= 2.35 u + 175
2.35 u + 175 = 880
2.35 u = 880 - 175
2.35 u = 705
1 u = 705 ÷ 2.35 = 300
Amount collected from adult tickets on Tuesday
= 1 u x 37
= 300 x 37
= $11100
Amount collected from child tickets on Tuesday
= 18(1 u + 125)
= 18(300 + 125)
= 18 x 425
= $7650
Total amount collected on Tuesday
= 11100 + 7650
= $18750
Answer(s):$18750