At a theme park, each adult ticket cost $31 and each child ticket cost $6. On Monday, the number of adult tickets sold was 80 less than the number of child tickets. On Tuesday, the number of adult tickets sold decreased by 50% while the number of child tickets sold increased by 25%. If a total of 800 tickets were sold on Tuesday, how much money was collected on Monday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 80 |
2 u + 80 |
Change |
- 0.5 u |
+ 0.25 u + 20 |
|
After |
0.5 u |
1.25 u + 100 |
1.75 u + 100 |
50% x 1 u =
50100 x 1 u = 0.5 u
25% x 1 u =
25100 x 1 u = 0.25 u
25% x 80 =
25100 x 80 = 20
Number of tickets sold on Tuesday
= 0.5 u + 1.25 u + 100
= 1.75 u + 100
1.75 u + 100 = 800
1.75 u = 800 - 100
1.75 u = 700
1 u = 700 ÷ 1.75 = 400
Amount collected from adult tickets on Monday
= 1 u x 31
= 400 x 31
= $12400
Amount collected from child tickets on Monday
= 6(1 u + 80)
= 6(400 + 80)
= 6 x 480
= $2880
Total amount collected on Monday
= 12400 + 2880
= $15280
Answer(s):$15280