At a tourist attraction, each adult ticket cost $26 and each child ticket cost $11. On Thursday, the number of adult tickets sold was 100 less than the number of child tickets. On Friday, the number of adult tickets sold decreased by 35% while the number of child tickets sold increased by 30%. If a total of 1690 tickets were sold on Friday, how much money was collected on Thursday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 100 |
2 u + 100 |
Change |
- 0.35 u |
+ 0.3 u + 30 |
|
After |
0.65 u |
1.3 u + 130 |
1.95 u + 130 |
35% x 1 u =
35100 x 1 u = 0.35 u
30% x 1 u =
30100 x 1 u = 0.3 u
30% x 100 =
30100 x 100 = 30
Number of tickets sold on Friday
= 0.65 u + 1.3 u + 130
= 1.95 u + 130
1.95 u + 130 = 1690
1.95 u = 1690 - 130
1.95 u = 1560
1 u = 1560 ÷ 1.95 = 800
Amount collected from adult tickets on Thursday
= 1 u x 26
= 800 x 26
= $20800
Amount collected from child tickets on Thursday
= 11(1 u + 100)
= 11(800 + 100)
= 11 x 900
= $9900
Total amount collected on Thursday
= 20800 + 9900
= $30700
Answer(s):$30700