At a tourist attraction, each adult ticket cost $40 and each child ticket cost $5. On Monday, the number of adult tickets sold was 68 less than the number of child tickets. On Tuesday, the number of adult tickets sold decreased by 10% while the number of child tickets sold increased by 25%. If a total of 1375 tickets were sold on Tuesday, how much money was collected on Monday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 68 |
2 u + 68 |
Change |
- 0.1 u |
+ 0.25 u + 17 |
|
After |
0.9 u |
1.25 u + 85 |
2.15 u + 85 |
10% x 1 u =
10100 x 1 u = 0.1 u
25% x 1 u =
25100 x 1 u = 0.25 u
25% x 68 =
25100 x 68 = 17
Number of tickets sold on Tuesday
= 0.9 u + 1.25 u + 85
= 2.15 u + 85
2.15 u + 85 = 1375
2.15 u = 1375 - 85
2.15 u = 1290
1 u = 1290 ÷ 2.15 = 600
Amount collected from adult tickets on Monday
= 1 u x 40
= 600 x 40
= $24000
Amount collected from child tickets on Monday
= 5(1 u + 68)
= 5(600 + 68)
= 5 x 668
= $3340
Total amount collected on Monday
= 24000 + 3340
= $27340
Answer(s):$27340