At a museum, each adult ticket cost $31 and each child ticket cost $7. On Thursday, the number of adult tickets sold was 128 less than the number of child tickets. On Friday, the number of adult tickets sold decreased by 15% while the number of child tickets sold increased by 50%. If a total of 1837 tickets were sold on Friday, how much money was collected on Thursday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 128 |
2 u + 128 |
Change |
- 0.15 u |
+ 0.5 u + 64 |
|
After |
0.85 u |
1.5 u + 192 |
2.35 u + 192 |
15% x 1 u =
15100 x 1 u = 0.15 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 128 =
50100 x 128 = 64
Number of tickets sold on Friday
= 0.85 u + 1.5 u + 192
= 2.35 u + 192
2.35 u + 192 = 1837
2.35 u = 1837 - 192
2.35 u = 1645
1 u = 1645 ÷ 2.35 = 700
Amount collected from adult tickets on Thursday
= 1 u x 31
= 700 x 31
= $21700
Amount collected from child tickets on Thursday
= 7(1 u + 128)
= 7(700 + 128)
= 7 x 828
= $5796
Total amount collected on Thursday
= 21700 + 5796
= $27496
Answer(s):$27496