At a museum, each adult ticket cost $38 and each child ticket cost $16. On Thursday, the number of adult tickets sold was 115 less than the number of child tickets. On Friday, the number of adult tickets sold decreased by 30% while the number of child tickets sold increased by 20%. If a total of 328 tickets were sold on Friday, how much money was collected on Thursday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 115 |
2 u + 115 |
Change |
- 0.3 u |
+ 0.2 u + 23 |
|
After |
0.7 u |
1.2 u + 138 |
1.9 u + 138 |
30% x 1 u =
30100 x 1 u = 0.3 u
20% x 1 u =
20100 x 1 u = 0.2 u
20% x 115 =
20100 x 115 = 23
Number of tickets sold on Friday
= 0.7 u + 1.2 u + 138
= 1.9 u + 138
1.9 u + 138 = 328
1.9 u = 328 - 138
1.9 u = 190
1 u = 190 ÷ 1.9 = 100
Amount collected from adult tickets on Thursday
= 1 u x 38
= 100 x 38
= $3800
Amount collected from child tickets on Thursday
= 16(1 u + 115)
= 16(100 + 115)
= 16 x 215
= $3440
Total amount collected on Thursday
= 3800 + 3440
= $7240
Answer(s):$7240